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

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

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0Since 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.

Mimi_x3
 2 years ago
Best ResponseYou've already chosen the best response.3100C50 * (1/2)^{50} * (1/2)^{50}

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

Mimi_x3
 2 years ago
Best 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 \(\frac{1}{2}\)

eliassaab
 2 years ago
Best ResponseYou've already chosen the best response.1You 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

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

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

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

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

Mimi_x3
 2 years ago
Best 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..

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

Mimi_x3
 2 years ago
Best ResponseYou've already chosen the best response.3I'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?

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

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

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