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
⇒ 
1