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The probability that an automobile will be stolen and found within one week is 0.0006. The probability that an automobile will be stolen is 0.0015. The probability that a stolen automobile will be found in one week is

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a
0.3
b
0.4
c
0.5
d
0.6

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detailed solution

Correct option is B

P(S∩F)=0.0006, where S is the event that the motor cycle is stolen and F is the event that the motor cycle is found. Therefore, P(S)=0.0015P(F/S)=P(F∩S)P(S)=6×10−415×10−4=25


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