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A bias coin has the probability 2/3 of turning up heads. The coin is thrown 4...

A bias coin has the probability 2/3 of turning up heads. The coin is thrown 4 times.

(a)What is the probability that the total number of heads shown is 3?

(b)Suppose that we know that outcome of the first throw is a head. Find the probability that the total number of heads shown is 3.

(c)If we know that the total number of heads shown is 3, find the probability that the outcome of the first throw was heads.

Math   Statistics-And-Probability   
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