Math

"The probability of getting heads on a biased coin is 1/3. Sammy tosses the coin 3 times. Find the probability of getting two heads and one tail".

I thought that all you have to do is:
(1/3)(1/3)(2/3)

It makes sense to me, but it's not right...

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  1. Here are the possibilities:

    HHT
    HTH
    THH

    Each one has a probability of (1/3)(1/3)(2/3) = 2/27. For either-or probabilities, add the probabilities of the individual events.

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  2. I WOULD PUT IT AS A SIMPLE 1/3

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  3. use 3C2 (1/3)^2(2/3)1 in the calculator. (3c2 as in 3=number of trials, 2= number of successes, plug into the math>prob>ncr function. )

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