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How smart is /b/?

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How smart is /b/?
>>
>>709519794
do your own homework
>>
>>709519794
That's so easy, a baby could figure it
50% because either they will or they will dont
>>
>>709519794
Depends on what coin you toss.
>>
>>709519794
the non autist answer is 50%
/thread
>>
>>709519794
If the sun is at the right angle and Atleast 5 birds are within 3km radius, the coin will have 38% chance to hit heads
>>
>>709519910
OP can only toss salad
>>
>>709519863
>>709519927
>Not taking landing on sides into account
>>
>>709519794
There are 4 options. HT HH TH TT. 3 of them have 1 heads as an option but only 1/3 has both. The answer is 33%
>>
>>709520148
No you are bandwagoning on all the other autists that post in this shitty thread when it comes up. The probability is still 50/50 because the outcome of one of the coins is already given. It is basically asking what the odds of landing heads is with a single coin.
>>
>>709520148
This is incorrect in this circumstance. We already had one outcome happen so technically that outcome is removed and now we're left with one, either the second coin will land heads or it will land tails. 50%
>>
>>709520419
1/2 chance of get with one coin, two coins = 1/2 + 1/2 = 1, literally impossible not to get at least one head
>>
>>709520148
In this situation only HT or HH is possible
>>
>>709519927

>the incorrect answer is 50%

FTFY

Answer is 1/3
>>
>>709520419
No you are the fucking autist of the 4 options given HH HT and TH have heads as an option TT is eliminated. The question says at least ONE of the coins is heads, meaning either the first OR the second. This includes all 3 remaining options. And only 1 of those 3 is the solution. The answer is 33%. How about you try thinking past the surface level faggot.
>>
>>709520494
No. We don't have an outcome happen. You are assuming the first coin was flipped and It was heads, meaning it was either HT or HH. I see why you think that it's 50% but you are wrong. It was never said the first coin was heads, only that one of the coins was heads
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>>709520494
>>709520419
>It is basically asking what the odds of landing heads is with a single coin.

>>709520588
TH is also possible and you cannot prove that it isn't.

1/3

If teh FIRST coin landed heads, the answer is 1/2.

if AT LEAST ONE coin landed heads, the answer is 1/3

Source: Washington University Math Dept.
http://courses.cs.washington.edu/courses/cse312/11wi/slides/04cprob.pdf

No, it isn't you stupid cunt.

There are 2 cases for a single coin flip to land heads, so getting heads is a 1 in 2 chance or 1/2.

There are 3 CASES to get AT LEAST 1 heads coin for a 2 coin flip:

heads, tails
or
tails, heads
or
both heads

All 3 of those are equally likely. All 3 are valid and contain at least 1 heads coin.

both heads is 1 of those 3 equally likely outcomes, so it's a 1 in 3 chance, or 1/3.

Stay in school, you retarded niggers.
>>
1%
>>
>>709519863
they will dont
fucking kek decent bait
>>
>>709521031

Wow, I ballsed up that reply.

1/3
>>
>>709519794
0% because neither coin has heads.
>>
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>>709520419
>>709520588
No

TH SH HH (given that the right one lands H)

It's 33% but since everyone saying 33% explained it wrong you're all fucking auts
>>
>>709520992
Yeah I miss read the problem, just toke a glance at and missed the fact that it didn't specify which outcome it was.
>>
Everyone here learned from some teacher that the answer is 1/3. I, however, discovered it all by myself.
>>
>>709520148
Doesnt work like that you have to remove either the TH or HT because since one coin has already landed heads it cant change. So its just looking at the same result your just naming the already flipped coin second with TH and first with HT. Theyre the same result so you remove one giving you 50/50
>>
>>709521511
>Theyre the same result

You are retarded. Congratulations.
>>
>>709521511

Nigger, if you're trolling, you got me. If you're not, allow me to explain.

TH is NOT the same as HT.

FLip a penny and a quarter. At least 1 of them landed heads. so you could have:

penny=heads, quarter=tails
or
penny=tails, quarter=heads
or
both=heads

All 3 of those are different outcomes. All 3 are equally likely.

1/3
>>
>>709521509
fuck you then, you discovered something that everybody know. Oh look! the earth gas gravity! crown me! fuck off fake bitch
>>
So what's the answer?
>>
>>709519794
N H 0.25
N N 0.25
H H 0.25
H N 0.25

The right answer that H >= 1 is 0.75 %
>>
>>709522723

But that's not the question.
>>
>>709519794
the answer is faggot.
>>
>>709519794
are the coins used or new? because if they are used, there is scratchses in the coins that will affect rolling.
>>
>>709519794

P(A|B)=P(AB)/P(B)=.25/.5=.5
>>
P(A|B) = P(A^B) / P(B) = P(A) / P(B) = .25 / .5 = .5

l2probability fags
>>
>>709522011
There's no need for jealousy and envy. I'm just a normal human being like you, just slightly more sophisticated and intelligent.
>>
fucking kek i hate this thread.

you never know if people are just being retarded or if it's a trollception.

So to make this clear once and for all:
The possibility is 1/3 because the coin could land H, T or land on side.
Thus there are 3 possibilities and we can conclude a probability of 1/3
>>
>>709524263
>>709524473

Retards

P (B) = 0.75

Answer is 1/3
>>
>>709524263
>>709524473
Except P(B) = 0.75, in which case the answer is .333
>>
>>709524787
Shitty b8 m8

It's 1/3 though
>>
>>709519794
You're all retarded, 0%, with all the sandniggers in Europe the coin won't have the time to land before being stolen.
>>
1. Completely ignore one of the coins. It's always heads. No, it doesn't matter if thrown first or not.
2. In stochastics a regular coin means 2 possible outcomes. No landing on sides bullshit.

It's 50%. Now fuck off.
>>
>>709519794
5
>>
some scientist done this study not to long ago. They said heads was more probable but, only sleightly b/c, it had the extra weight of the protruding face.

Therefore it's about 60% w/o doing any math and using the study.

I don't remember their exact percentage but, it was 60-70% heads.
>>
If your answer to this high school level probabillity question is 50% you should just stop trying and go work for mcdonalds.
>>
>>709525399
Either coin could be tails, you fucktard. Just not both at the same time. So you can't ignore any coin.

1/3
>>
>>709519794
1/3, now fuck off.
>>
>>709519794
The better question here is why you haven't placed the coins in your pocket yet. Why not just make a few extra cents, dude?
>>
>>709527266
>implying the coins weren't already yours to begin with
>>
I never understood why everyone was so angry at the people who (falsely) claim the probability is 0.5. For a person who hasn't studied prob/stats or has forgot this particular material from a long-ago math class they never paid attention in, all of their logic screams 50%. They aren't idiots or autists. They are relying on an assumption they've made from a real-world thought experiment. Those of us in the know should simply rely on giving them the correct explanation, with valid sources and theory to back it up. Simply saying, "1/3, you fuckbrains! So much stupid! haha autism!" not only lends zero credibility to the truth in your statement, but in fact has the effect of turning them emotionally and intellectually away from you and possibly the entire field of mathematics. The end result is a well-intentioned individual becoming offended and defensive of their incorrect answer.


>tl;dr Don't be a dick
>>
>>709527383
>They aren't idiots

They are.>>709527383
>Simply saying, "1/3, you fuckbrains! So much stupid! haha autism!" not only lends zero credibility to the truth in your statement

But they stil think it's 50% even after given the correct explanations and solutions.
>>
>>709527373
All I'm saying is I'm not that bored to find the probability of flipping coins. Unless you're into that then go ahead.
>>
>>709519794

Smart enough to not get involved
>>
>>709527373
Also
>Implying the coins were yours to begin with.
>>
>>709527684
>I'm not that bored to find the probability of flipping coins
and yet here you are in a thread where faggots are arguing about "the probability of flipping coins"
>>
>>709527834
except i wasnt the one who immediately assumed that they werent my coins, now was i?

all i did was tell you of another possible circumstance
>>
>>709528166
Tell you what, fuck the coin toss shit we're now finding the probability of either having the coins to begin with or simply finding the coins elsewhere.
>>
>>709528420
no fuck you i always have coins on me
>>
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>>709519794
>>
>>709527538
I'll admit I thought it was 50% until I read the explanation. Misread the question and assumed the first coin came up heads.
>>
take two coins. place one of them on a flat surface heads side up. flip the other one 1.000.000 times, write down the results. If you think the ratio will be 1/3 kill yourself.
>>
>>709528915
that scenario isn't the same as the question. It clearly states two coins were flipped but in your experiment only one coin was flipped
>>
>>709519794
I srsly think its 50%. Tossing a coin isnt quantum mechanics so that one landed coin will somehow change the chance of other
>>
>>709528915
If you think that "at least one of the coins is heads" means "the first coin is always heads" then just kill yourself

You're immediately assuming that the coins were flipped in succession when the problem doesn't even specify

So what happens if both were flipped at the same time? What happens to your supposed logical answer?
>>
3/5 like the niggers
>>
>>709519794
1/4 - makes no difference to odds if one of them lands on heads or not. you still gotta flip.
>>
>>709528915

That's a different scenario, friend.

Answer to your scenario is 1/2.

Answer to OP question is 1/3.

>>709529284
>I srsly think its 50%.

Because you're a bit stupid, but I'll try to help.

When you flip 2 regular coins, there are 4 equally likely outcomes possible. These are:

heads, heads
heads, tails
tails, heads
tails, tails

At least 1 landed heads, meaning that only
tails, tails
is no longer a possibility.

All 3 remaining outcomes are all still possible and equally likely.

1/3
>>
>>709529284
No it's 1/3 we elaborated that many times.

what you didn't coinsider is that the coin could land on its side.
>>
>>709529622
THat wasn't the question. The question is 2 coins are flipped - what are the odds of HH. The extra info is to confuse your little mind.
You fucking retarded cunts /b
>>
1/3
laughing at all you niggas being absolutely certain thats its 50%
>>
>>709521118
>they will dont
nice grammar fa33ot
>>
>>709529791

It's a conditional probability question.

The answer is 1/3 as has already been explained multiple times.
>>
>>709529970
And completley incorrect in this situation.
>>
this >>709529622
>>
>>709529817
>1/3

kek.

If the probability would be 1/3 for head then it would be 1/3 for tails,too.

It follows that the probability for the coin landing on either head or tails is 60%.
But it has to be 100%
>>
>>709525103

You're fucking stupid.
>>
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yeah im stupid?
the computer says diffrently.
I wrote a python program that chooses random between 1 and 2 5000x and if it chooses 1 it chooses again and if it chooses again it puts value 1 if it chooses 2 it puts value 2,so basically i made a flip toss in python and the results give 50-50
>>
>>709530209
What seems to be the problem then?
>>
99....% because one already landed on head, so pretty much close to 100% they both land heads

(and yes, 99..... means 99,9999999 etc etc.. For the non-mathguys out there ;) )
>>
>>709530241
i know this could have been done on a much simpler way,dont judge
>>
>>709530241
see
>>709529413
>>
>>709519794
It's a conditional probability problem the answer is 1/3 not 1/2
>>
Real answer using determinate probability:

3/4 or 75%
>>
>>709530470
explain
>>
>>709530241
>>709530384
The problem with your code is that you set it up to confirm your understanding of the problem. Unfortunately, that understanding is incorrect, and therefore, the result is also incorrect.
>>
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>>709530045

Just because you say it's incorrect doesn't make it incorrect. You have to demonstrate how.

Protip: You can't because you're either
A) Trolling
or
B) Retarded

>>709530241
Your program only counts the flips where the FIRST flip lands heads.

The FIRST flip could be tails and the second heads. Your program does not account for this and that is why you are wrong.

Rewrite your program and allow for the first flip to also be tails.

Here is a correct simulation where either coin could be tails.

1/3
>>
>>709530424
that doesnt matter. Either you want to specify the problem as "whats the chance of both coins ladnig on the same side if you flip them at once" or it really doesnt matter wether the first or second coin is face up
>>
>>709530670
linux fag

>>automatically wrong on every single point

also some of the worst programming i've ever seen. kys
>>
>>709519794
While behind your back, I flipped two coins. If I tell you one coin landed heads, what is the probability the other one also landed heads?

That makes the scenario much easier to picture.
>>
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>>709519794
There are only two coins. It's 50/50 faggot.
>>
>>709530300

http://math.arizona.edu/~jwatkins/f-condition.pdf

Read the first point and apply.

Winning: "two heads", i.e. HH.

Probability of winning = # outcomes that result in a win and that also has a head in the first toss / # outcomes with head in the first toss

that is,

Probability of winning = #(HH) / #(HH,HT) = 1/2 = .5

This is the concept of conditional probability. You already know a head happened.

What you suckers compute when you say 1/3, is the possibility of the event "AB = HH", which is not the same thing.
>>
>>709520579
test that and see how it goes
>>
>>709530670
I don't care about what program you're using, or the concision of your code, this demonstrates an understanding of the problem and produces the correct answer. Gold star.
>>
>>709530670
if it takes two random values and checks if the second one is 1 and then the first one its the same fucking thing,theres no corelation between them,the coins have already been flipped,it doesnt matter which one of them is up,if one is up the second has 50% chance to be up
>>
>>709530962
once again, "at least one head" and "first toss is head" are completely different.
>>
>>709531294
I might have not explained myself well,but i think you dont understand the basics of code and random numbers
>>
>>709530962

While it's true that the correct answer is 1/2, the event "AB=HH" has a possibility of 1/4.
>>
>>709519794

the probability is that every time both coins show heads, 100% of the time they will both show heads
>>
>>709531380

So? What in the words "head in the first toss" is not clear?
>>
>>709530601

The question is what is the probability BOTH landed heads, given one landed heads.

Coin 1: 100% probability heads
Coin 2: 50% probability heads

150%/2=75%

>So the problem is solved, no?
No. Because there is an equal probability that the coins have landed Heads/Tails.

>What? how can the probability of 2 things occurring be 75%???

Figure that out and win a Nobel prize.
Math has moved on from trying to solve shit like this.
>>
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>>709531294

It does matter, you fucking retard, because there are TWO WAYS to get 1 heads, 1 tails and only ONE WAY to get both heads.

you are TWICE AS LIKELY to get a HT/TH result as you are to get HH.

You morons really are fucking retarded.

Flip 2 coins 1000 times. You will get, on average:

HH ~ 250 times
HT ~ 250 times
TH ~ 250 times
TT ~ 250 times

Out of all the flips containing AT LEAST ONE heads (750), 250 of the are both heads.

250/750 = 1/3
>>
>>709530962
>head in the first toss
but that's not what "at least one heads" means though

i don't get why everyone who reads this problem immediately assumes that the coins are flipped one after the other and that the first coin is always heads.

you want concept of conditional probability?

let A be an event where both coins end up heads
let B be an event where at least one coin ends up heads

P(A) = .25
P(B) = .75
P(A|B) = P(AB) / P(B) = P(A) / P(B) = .25 / .75 = .333
>>
>>709530962
Not reading again.
1 coin has already been determined to be head 100%.
>>
>>709531294
>if it takes two random values and checks if the second one is 1 and then the first one

You moron. It must check if EITHER of the values = 1.

If any = 1 then it must be counted.

1/3
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doesnt matter which coin is up,they are already tossed.
>>
>>709527538
>people not understanding the explanation immediately must be retarded

This problem has been discussed in a slightly different way as the monty hall problem.

Even acknowledged scientists got it wrong first and then insisted on their wrong opinion.
>>
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>>709519794
When in doubt, enumerate all possible cases and count them.

We're given that the first coin is heads, so cross out the cases in which the first coin is tails.

We're left with two cases, so our probability is X / 2, where X is the number of cases that fit the given condition.

The one HH case fits the given condition, so X is 1.

Our probability is: 1 / 2 = 50%
>>
>>709532247
Read OP's pic
Read it carefully
Understand what it's trying to say

Now tell me where in the pic it says that the first toss is heads?
>>
>>709531668
I'm guessing when they think about it they are just assuming that there are three options: both heads, both tails, and one of each. The concept of HT/TH tends to really be counter-intuitive to folks.
>>
>>709531590
> Nobel prize for math

kys
>>
>>709529622
You fucking retard.

Let's extrapolate, you flip 10.000 coins. 9999 of them always land heads.

What's the probability of all of them landing heads is still 50/50.

There are only TWO fucking outcomes
(H+H+H+H+H+..+Hn)+T
or (H+H+H+H+H+H+...+Hn)+H

REGARDLESS of which coin lands tails if it does so, they all carry the same weight.

Fucking pseudointelectual faggots, go back to school.
>>
>>709520646
How? If one is guaranteed to land head the other one can only land head or tails, and both have same chance so its 50%
>>
>>709531898

You dumb motherfucker.

When a == 1 AND b == 1. You are counting them TWICE.

you are counting 1 result TWICE, you dumb mother fucker. You should be counting that result ONCE, not twice.

Correct your code.

1/3
>>
>>709519927
im autistic and im good a math

fuck you
>>
>>709531898

Your 2 if statements counts a 1, 1, result twice.

Why are you retarded?

You are counting a heads, heads result twice.

This is beyond retarded.
>>
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>>709532398
You're right, my bad, I misread it. Corrected pic.

3 cases fit the given, so X / 3.

1 case fits the condition.

Probability is 1 / 3.
>>
>>709532132
So much this. Thinking minds tend to place trust in the conclusions they reach on their own accord, with their own set of information. When new information is share with conflicting information to tell them their wrong, they resort to the information they have, and all of the other minds and information that confirms their stance.

Give someone a chance to wrap their head around it. If the only piece of music you've ever heard is the happy birthday song, Carmina Burana sounds like a battlefield of noise. This happened in real life with the Rite of Spring.
>>
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>>709532247

Corrected it for you

1/3
>>
>>709532631
>9999 of them always land heads.

Different question, dumbass.
>>
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>>709532695
>If one is guaranteed to land head

Either coin could be tails, just not both at the same time.

Same as question in pic related:

1/3
>>
>>709533061
It's the same fucking thing you imbecile.
>>
>>709532904
your statement just concluded that it doesnt fking matter which coin we check first
>>
>>709532631
>cannot fully comprehend the problem
>>
>>709532905
>confident in answer
>makes mistake
>admits mistake
>finds correct answer
This is why I'm going to be a technical trainer. Also: nice work, anon
>>
>>709533351

No, it isn't you retard.

If you flip 1000 coins and the FIRST 999 landed heads, the probability that they ALL landed heads is 1/2.

HOWEVER,

If you flips 1000 coins and AT LEAST 999 landed heads, the probability that they ALL landed heads is 1/1001.

This is because there are 1001 different ways to get AT LEAST 999 heads coins for a 1000 coin flip. This is waht you retarded faggots don't seem to understand.

Look, let's take 3 coins to make it simple for you to understand.

Flip 3 coins, there are 8 possible outcomes:

HHH
HHT
HTH
HTT
THH
THT
TTH
TTT

If at least 2 landed heads, the probability that all 3 landed heads is 1/4.

WHY?

Because there are 4 outcomes with at least 2 heads, and 1 of those 4 is all heads (HHH)

Answer to OP is 1/3.
>>
>Two regular coins were flipped

It is already assumed that the coins are regular. There is no reason to go out of your way to point out that they are regular. Unless, of course, they aren't regular and you're trying to deceive us. What magical capabilities your coins have I will never know and will never be able to predict.
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i knew /b was pretty dump but i did not expect this. if you dont know why the answer is 1/3 or you spend more than 20sec figuring that out you should do world a favor and commit suicide
>>
>>709534111
>trips
also, what
>>
>>709532631
"You flip 10,000 fair coins. If at least 9,999 of them are heads, what's the probability that all of them are heads?"

If you really think the answer to that is 50%, you and I have a bet to make.

The question *is not*: suppose exactly 9,999 of them are definitely heads, forget about those, now what's the chance that this special coin that I left out is heads or tails, still assuming it's fair? The answer to that is indeed 50%.
>>
>>709533841
true, but if you throw the first coin and it is heads, you throw the second coin and it is heads, then the probability of the third coin being heads is 1/2

The way the original question is asked you don't know how they are finding out that at least one coin is heads
>>
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>>709534376

The question does not say the FIRST coin landed heads.

It says AT LEAST ONE coin landed heads.

It could be either coin, meaning

HH
HT
TH

are all valid and equally likely outcomes.

1/3.
>>
Yeah i fucked up,sorry for being an autismo. Im not that smart when it comes to math,but i trust the computer,and i just debugged what i misunderstood from the original question. Its 1/3 ,every damn time
>>
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>>709534609
here it is. 1/3
>>
ITT: 1/3
>>
>>709534676

At least you learned from your mistake, with a bit of encouragement.
>>
50 50
>>
>>709533841
Damn you're an idiot, it's irrelevant which lands first or last or any order whatsoever, they carry no weight, they are the same, REGULAR coins, meaning:

HT=TH

So we are left with:

HH or TH/HT so 1 in 2 so 50%.

IF you wanted a specific coin to land heads then the problem would look like:

H*H
HH*
H*T
T*H
HT*

That's 2/5
*=specific/marked coin

The way it is WORDED makes it IRRELEVANT.
>>
>>709534557
read the question again, does it SAY how you find out that at least one coin landed heads?

If I flip both coins where you can't see them and show you a coin "AT LEAST ONE" coin landed heads. The probability of the other one being heads would still be 1/2.

What I am trying to say is that this is a well known ambiguous question, and the only people who are wrong are the ones who believe one of the two answers is wrong.
>>
>>709534958
I really hope you're trolling. If not, I have several textbooks you can look at.
>>
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>>709534961
>does it SAY how you find out that at least one coin landed heads?

The question states:
>At least one coin landed heads

So don't assume shit like the FIRST coin landed heads.


>What I am trying to say is that this is a well known ambiguous question

No, it's a basic conditional probability question.

Here is a slide from a Day 1 Probability introduction module.

Source
http://courses.cs.washington.edu/courses/cse312/11wi/slides/04cprob.pdf


1/3
>>
>>709535384
here is a wikipedia entry
https://en.wikipedia.org/wiki/Boy_or_Girl_paradox

we can do this all day
>>
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>>709534958
>>709535301

not 2/5, 1/3 here it is, color coded.
>>
>>709535530

Now read it.
>>
>>709529690
No.
>>
-[------->+<]>.-[->++++<]>.[->+++<]>+.++++++++++++.[->+++++<]>-.---[->++++<]>-.++.---.-------------.--[--->+<]>-.---[->++++<]>.------------.-------.--[--->+<]>-.[---->+<]>+++.[-->+++++<]>-.+.[----->++<]>.-[--->++<]>-.++++++++++.+[---->+<]>+++.[->+++<]>+.-[->+++<]>.++[->+++<]>.-----.++++++..++++++++.+++++.[-->+++++<]>-.-.>-[--->+<]>-.[---->+++++<]>-.---.--[--->+<]>-.[->+++<]>+.+++++++++++++.+++++.++++.[->+++<]>.+++++++++++++.[-->+++++<]>+++.-[--->++<]>-.++++++++++.+[---->+<]>+++.[-->+++<]>+.--.++++.-----.

My BF program says it's 1/3
>>
ITT:b is not very smart at all
>>
>>709536349
This thread has depressed me. It's 3/4 chance, or 75%. JTFC.
>>
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>>709519794
Depends on who flips the coin. If I flip I can chose how it will land. I have a success rate of 70%! I flip it high in hte air and it spins many times, when it lands it's usually what I told the coin to land on that shows! I can do this to any coin, so I'm not using a cheat coin or anything. Also Check them!
>>
they're both 50/50 all the time everytime, it's an inanimayr objerct with no memory, remembver that at rouelette wheels too
>>
>>709529835
>autism
>>
>>709537024

You're saying the probability of rolling snake-eyes 10 times in a row is 1/6 because the probability of rolling a 1 is always 1/6.

I'm willing to bet you don't actually believe the probability of rolling snake-eyes 10 times in a row is 1/6.
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