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ParthKohli
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If 100 coins are tossed, what is the probability that exactly 50 heads will be showing?
 2 years ago
 2 years ago
ParthKohli Group Title
If 100 coins are tossed, what is the probability that exactly 50 heads will be showing?
 2 years ago
 2 years ago

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ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Is this as simple as saying "1/2"?
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Since I found this from the 50 Hard Probability Problems webpage(http://www.delphiforfun.org/Programs/Math_Topics/FiftyProbabilityProblems.htm), I think there is something tricky going on there.
 2 years ago

Mimi_x3 Group TitleBest ResponseYou've already chosen the best response.3
Binomial Probability?
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
I am not sure.
 2 years ago

Mimi_x3 Group TitleBest ResponseYou've already chosen the best response.3
100C50 * (1/2)^{50} * (1/2)^{50}
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Hmm, but could you possibly explain that a little?
 2 years ago

Mimi_x3 Group TitleBest ResponseYou've already chosen the best response.3
\[\tbinom{100}{50} *\left(\frac{1}{2}\right)^{50}*\left(\frac{1}{2}\right)^{50} = 0.0796\] \(p=q= \frac{1}{2}\) This is a particular case of probability of binomial probability when probabilities \(p\) and \(q\) of successes and failure are both \(\frac{1}{2}\)
 2 years ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.1
You have to get 50 heads and 50 tails the probability of that is \[ \frac 1 {2^{50}}\frac 1 {2^{50}} \] There are \[ 100C50 \] such possiblities
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Oh, yes! How could I forget combinations?!
 2 years ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.1
The answer is about .08
 2 years ago

Mimi_x3 Group TitleBest ResponseYou've already chosen the best response.3
woops..but am i wrong?
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Now I really feel silly.
 2 years ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
Thank you @eliassaab @Mimi_x3 Mimi, I might not be a qualified person to judge that. :p
 2 years ago

Mimi_x3 Group TitleBest ResponseYou've already chosen the best response.3
@eliassaab: I have a question..I don't think I'm wrong..this looks like Binomial Probability..
 2 years ago

Mimi_x3 Group TitleBest ResponseYou've already chosen the best response.3
wait forget it i read the question wrongly..100 coins are tossed..not 100 coins are tossed 100 times..sorry.
 2 years ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.1
Mimi, you are right.
 2 years ago

Mimi_x3 Group TitleBest ResponseYou've already chosen the best response.3
I'm sorry; but I'm confused I'm not that good with Probability. Rereading the question again it says "100 coins are tossed" does that mean that it's not Binomial Probability? Since it is not 100 times?
 2 years ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.1
You can think about one coin tossed 100 times.
 2 years ago

Mimi_x3 Group TitleBest ResponseYou've already chosen the best response.3
But 100 coins are tossed; does that mean it is all tossed at the same time? So it is not Binomial Probability.
 2 years ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.1
Tossing 100 coins and tossing a coin 100 times is the same event.
 2 years ago

Mimi_x3 Group TitleBest ResponseYou've already chosen the best response.3
ok. i got it. thanks.
 2 years ago
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