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Four persons can hit a target correctly with probabilities 12,34,14and 18respectively. If all hit at the target independently, then the probability that the target would be hit, is

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a
235256
b
21256
c
3256
d
253256

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detailed solution

Correct option is A

Given that the probability of hitting a target independently by four persons are respectively P(A)=12,P(B)=34,P(C)=14,P(D)=18The probability of hitting the target          = 1-P(not hitting the target)=1−PA¯PB¯PC¯PD¯=1−12143478=1−21256=235236


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