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Math Help - Coin Flip

  1. #1
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    Smile Coin Flip

    A coin is flipped "n" times. What is the probability that exactly"h" heads emerge? Explain.

    - I just want to make sure that I'm doing this right.

    I have the sample space as 2*n and the P(s)= H/(2*n).

    Is this correct??
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  2. #2
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    Quote Originally Posted by ccdelia7 View Post
    A coin is flipped "n" times. What is the probability that exactly"h" heads emerge? Explain.

    - I just want to make sure that I'm doing this right.

    I have the sample space as 2*n and the P(s)= H/(2*n).

    Is this correct??
    No...

    When you flip the coin 'n' times, the head 'h' can appear in {n \choose h} ways.

    So P(exactly 'h' heads) = \frac{{n \choose h}}{2^n}
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  3. #3
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    Quote Originally Posted by ccdelia7 View Post
    A coin is flipped "n" times. What is the probability that exactly"h" heads emerge? Explain.

    - I just want to make sure that I'm doing this right.

    I have the sample space as 2*n and the P(s)= H/(2*n).

    Is this correct??
    The probability of any particular distribution of n coin flips with order taken into account is \frac{1}{2^n}. So in order to determine the number of coin flips with exactly n coming up heads the formula is {_8}C{_n}\cdot{\frac{1}{2^n}}.
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