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Math Help - coin probability

  1. #1
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    coin probability

    You have 5 coins and one is double sided Head. If you pick one coin up at random and flip it 5 times and get 5 Heads in a row, what is the probability that you have been flipping the double sided Head coin?

    -Thanks.
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  2. #2
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    I'm going to assume that each coin is chosen with equal probability, which is 0.2.

    Then the probability you picked the double head coin is:

    \frac{0.2}{0.2(1 + 4 \cdot 0.5^5)} = \frac{8}{9}
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  3. #3
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    Quote Originally Posted by curious444 View Post
    You have 5 coins and one is double sided Head. If you pick one coin up at random and flip it 5 times and get 5 Heads in a row, what is the probability that you have been flipping the double sided Head coin?

    -Thanks.
    I think for this question you could use the binomial distribution.
    n = 5 and the probability of choosing the double headed coin will be 1/5
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