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Question

A and B play a game in which As chance of winning is 15 in a series of 6 games, the probability that A will win all the 6 games is

A
62C(15)6
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B
66C(15)6(45)0
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C
(45)6
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D
65C(15)5(45)
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Solution

The correct option is B 66C(15)6(45)0
As chance of winning is 15.
For a series of 6 games, the probability that $A$ will win all the 6 games,
n=6 and k=6 probability of win =p=
15
Probability for k success is = nCk(p)k(1p)nk
Probability = 6C6(15)6(115)66
= 6C6(15)6(45)0

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