Q20 of 62 Page 1337

A man can hit a bird, once in 3 shots. On this assumption he fires 3 shots. What is the chance that at least one bird is hit?

The probability that the bird will be shot, is 1/3


Using Bernoulli’s Trial we have,


P(Success=x) = nCx.px.q(n-x)


x=0, 1, 2, ………n and q = (1-p), n =3


p = 1/3 q =2/3


Probability that he will hit at least one bird is =


P(1) + P(2) + P(3)


⇒ 3C1()1()2 + 3C2()2()1 + 3C3()3()0


⇒


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