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Q.

One hundred identical coins each with probability p of showing up heads, are tossed once. If 0 < p < 1 and probability of heads showing on 20 coins is equal to that of showing on 21 coins then the value of p is

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a

12

b

21101

c

50101

d

51101

answer is B.

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Detailed Solution

p(X=20)=p(x=21) ⇒ 100C20 q80p20= 100C21q79p21⇒q=8021p⇒p=21101
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