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Q.

A consignment of 15 record players contains 4 defectives. The record players are selected at random one by one without replacement and examined

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a

probability that 9th examined player is the last defective is 8197

b

Probability that 9th examined player is defective given that there were 3 defectives in the first 8 players examined is 17

c

Probability that 9th one examined is the last defective, is 8195

d

probability of getting exactly 3 defective in the examination of 8 record players is 4C3×11C515C8

answer is A, B, C.

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Detailed Solution

A consignment of 15 record players contains 4defectives

 Selection of 8 players in that 3 are defective is n(E)=4C3×11C5

P(E)=n(E)n(S)=4C3×11C515C8=8×7195

Now 9th player can be selected who is defective is 1 way probability is 17

 Total probability is 8×7195×17

=8195

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