A , B , C try to hit a target simultaneously but independently. Their respective probabilities of hitting the targets are 3 4 , 1 2 , 5 8 . The probability that the target is hit by A or B but not by C is :

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Correct answer: A. 21 / 64

P ( A or B but not by C )= P (( A B ) C ) aligned & = P ( A B ) P ( C ) & =[ P ( A )+ P ( B )- P ( A B )] P ( C ) & = & [ 3 4 + 1 2 - 3 4 1 2 ] 3 8 = ( 6+4-3 8 ) 3 8 = 21 64 aligned

A , B , C try to hit a target simultaneously but independently. Their respective probabilities of hitting the targets are 3 4 , 1 2 , 5 8 . The probability that the target is hit by A or B but not by C is :

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