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in Statistics and probability by (54.8k points)

A player ‘A’ plays a game against a machine. At each round he deposits one rupee in a slot and then flips a coin which has a probability p of showing a head. If the flipped coin show head, he gets back the rupee he deposited and one more rupee from the machine, else he loses his rupee. Let A starts with 10 rupee coins and q = 1 – p (the probability of showing a tail), then

The probability that he will be drained out with all of his rupee coins exactly at the eleventh round is 

(A) q11 

(B) 1 – q11 

(C) pq10 + q11 

(D) 0

1 Answer

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by (52.5k points)
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Best answer

Answer is (D) 0

A can be drawn out only at even numbered round. Therefore, A will not be drained out at the 11th round.  

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