Q.

A biased coin with probability p, 0 < p < 1 of heads is tossed until a head appears for the first time. If the probability that the number of  tosses required is event is 25 , then p equals

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a

13

b

23

c

25

d

35

answer is A.

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Detailed Solution

25=qp+q3p+.......... ⇒25=qp1−q2=(1−p)p1−(1−p)2               p=13
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