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

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ParthKohliBest ResponseYou've already chosen the best response.0
Is this as simple as saying "1/2"?
 one year ago

ParthKohliBest 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.
 one year ago

Mimi_x3Best ResponseYou've already chosen the best response.3
100C50 * (1/2)^{50} * (1/2)^{50}
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Hmm, but could you possibly explain that a little?
 one year ago

Mimi_x3Best 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 \(\frac{1}{2}\)
 one year ago

eliassaabBest 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
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Oh, yes! How could I forget combinations?!
 one year ago

eliassaabBest ResponseYou've already chosen the best response.1
The answer is about .08
 one year ago

Mimi_x3Best ResponseYou've already chosen the best response.3
woops..but am i wrong?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.0
Now I really feel silly.
 one year ago

ParthKohliBest 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
 one year ago

Mimi_x3Best 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..
 one year ago

Mimi_x3Best 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.
 one year ago

eliassaabBest ResponseYou've already chosen the best response.1
Mimi, you are right.
 one year ago

Mimi_x3Best 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?
 one year ago

eliassaabBest ResponseYou've already chosen the best response.1
You can think about one coin tossed 100 times.
 one year ago

Mimi_x3Best 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.
 one year ago

eliassaabBest ResponseYou've already chosen the best response.1
Tossing 100 coins and tossing a coin 100 times is the same event.
 one year ago
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