ParthKohli
  • ParthKohli
If 100 coins are tossed, what is the probability that exactly 50 heads will be showing?
Mathematics
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
ParthKohli
  • ParthKohli
Is this as simple as saying "1/2"?
ParthKohli
  • ParthKohli
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.
Mimi_x3
  • Mimi_x3
Binomial Probability?

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More answers

ParthKohli
  • ParthKohli
I am not sure.
Mimi_x3
  • Mimi_x3
100C50 * (1/2)^{50} * (1/2)^{50}
ParthKohli
  • ParthKohli
Hmm, but could you possibly explain that a little?
Mimi_x3
  • Mimi_x3
\[\tbinom{100}{50} *\left(\frac{1}{2}\right)^{50}*\left(\frac{1}{2}\right)^{50} = 0.0796\] \(p=q= \frac{1}{2}\) This is a particular case of probability of binomial probability when probabilities \(p\) and \(q\) of successes and failure are both \(\frac{1}{2}\)
anonymous
  • anonymous
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
ParthKohli
  • ParthKohli
Oh, yes! How could I forget combinations?!
anonymous
  • anonymous
The answer is about .08
Mimi_x3
  • Mimi_x3
woops..but am i wrong?
ParthKohli
  • ParthKohli
Now I really feel silly.
ParthKohli
  • ParthKohli
Thank you @eliassaab @Mimi_x3 Mimi, I might not be a qualified person to judge that. :p
anonymous
  • anonymous
yw
Mimi_x3
  • Mimi_x3
@eliassaab: I have a question..I don't think I'm wrong..this looks like Binomial Probability..
Mimi_x3
  • Mimi_x3
wait forget it i read the question wrongly..100 coins are tossed..not 100 coins are tossed 100 times..sorry.
anonymous
  • anonymous
Mimi, you are right.
Mimi_x3
  • Mimi_x3
I'm sorry; but I'm confused I'm not that good with Probability. Re-reading the question again it says "100 coins are tossed" does that mean that it's not Binomial Probability? Since it is not 100 times?
anonymous
  • anonymous
You can think about one coin tossed 100 times.
Mimi_x3
  • Mimi_x3
But 100 coins are tossed; does that mean it is all tossed at the same time? So it is not Binomial Probability.
anonymous
  • anonymous
Tossing 100 coins and tossing a coin 100 times is the same event.
Mimi_x3
  • Mimi_x3
ok. i got it. thanks.

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