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Math Help - probability outcomes about coin flips

  1. #1
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    probability outcomes about coin flips

    Here's my homework question:

    A woman flips a coin exactly 6 times in a row. What is the probability that the coin turned heads up exactly 3 times.

    Can you show me as much work as you can and explain the steps to me?

    Thank you.
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  2. #2
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    What have you learned about probability so far? Have you learned about binomial distribution?
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  3. #3
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    Yes, we have discussed binomial distribution.
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  4. #4
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    Then you would know that:

    The number of the particular outcome (3 heads) is
     ^nC_k p^k (1-p)^k

    p is the probability of getting heads on 1 flip, so it's 0.5
    k is the number of times p will occur, so it's 3
    n is the number of times you repeat the process, so it's 6.

    This gives you the number of ways 3 heads can be obtained from 6 coin flips.

    Now you will need to divide this number by the number of total different outcomes to find the probability.
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