A , B , C try to hit a target simultaneously but independently. Their respective probabilities of hitting the targets are 4 3 , 2 1 , 8 5 . The probability that the target is hit by A or B but n

Question

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

TestHub · Accepted Answer

P ( A or B but not by C ) = P (( A ∪ B ) ∩ C ) ​ = P ( A ∪ B ) × P ( C ) = [ P ( A ) + P ( B ) − P ( A ∩ B )] × P ( C ) = [ 4 3 ​ + 2 1 ​ − 4 3 ​ × 2 1 ​ ] × 8 3 ​ = ( 8 6 + 4 − 3 ​ ) × 8 3 ​ = 64 21 ​ ​

Mathematics - Probability Question with Solution | TestHub

Options:

Doubts & Discussion