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ParthKohli

  • 3 years ago

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

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  1. ParthKohli
    • 3 years ago
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    Is this as simple as saying "1/2"?

  2. ParthKohli
    • 3 years ago
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    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.

  3. Mimi_x3
    • 3 years ago
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    Binomial Probability?

  4. ParthKohli
    • 3 years ago
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    I am not sure.

  5. Mimi_x3
    • 3 years ago
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    100C50 * (1/2)^{50} * (1/2)^{50}

  6. ParthKohli
    • 3 years ago
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    Hmm, but could you possibly explain that a little?

  7. Mimi_x3
    • 3 years ago
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    \[\tbinom{100}{50} *\left(\frac{1}{2}\right)^{50}*\left(\frac{1}{2}\right)^{50} = 0.0796\] \(p=q= \frac{1}{2}\) This is a particular case of probability of binomial probability when probabilities \(p\) and \(q\) of successes and failure are both \(\frac{1}{2}\)

  8. eliassaab
    • 3 years ago
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    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

  9. ParthKohli
    • 3 years ago
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    Oh, yes! How could I forget combinations?!

  10. eliassaab
    • 3 years ago
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    The answer is about .08

  11. Mimi_x3
    • 3 years ago
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    woops..but am i wrong?

  12. ParthKohli
    • 3 years ago
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    Now I really feel silly.

  13. ParthKohli
    • 3 years ago
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    Thank you @eliassaab @Mimi_x3 Mimi, I might not be a qualified person to judge that. :p

  14. eliassaab
    • 3 years ago
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    yw

  15. Mimi_x3
    • 3 years ago
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    @eliassaab: I have a question..I don't think I'm wrong..this looks like Binomial Probability..

  16. Mimi_x3
    • 3 years ago
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    wait forget it i read the question wrongly..100 coins are tossed..not 100 coins are tossed 100 times..sorry.

  17. eliassaab
    • 3 years ago
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    Mimi, you are right.

  18. Mimi_x3
    • 3 years ago
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    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?

  19. eliassaab
    • 3 years ago
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    You can think about one coin tossed 100 times.

  20. Mimi_x3
    • 3 years ago
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    But 100 coins are tossed; does that mean it is all tossed at the same time? So it is not Binomial Probability.

  21. eliassaab
    • 3 years ago
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    Tossing 100 coins and tossing a coin 100 times is the same event.

  22. Mimi_x3
    • 3 years ago
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    ok. i got it. thanks.

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