Question

Suppose you toss a coin until head shows up where P(H) = p. Let X be...

Suppose you toss a coin until head shows up where P(H) = p. Let X be the total number of tosses. Find the probability that X is an odd integer.

Math   Statistics-And-Probability   
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Answer #1

Here, n =0,1,2....

n+1 is the number of trial.

If n=0 that is at first trial,

Probability of getting head is p.

If n=1 that is at second trial,

Probability of getting head is p*(1-p)*(1-p).

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