A policeman fires 6 bullets at a burglar. The probability that the burglar will be hit by a bullet is 0.6. what is the probability that burglar is still unhurt?
The probability that the burglar will be hit by a bullet is 0.6.
Using Bernoulli’s Trial we have,
P(Success=x) = nCx.px.q(n-x)
x=0, 1, 2, ………n and q = (1-p), n =6
p = 0.6 q =0.4
The probability that the burglar is unhurt is,
6C0(0.6)0(0.4)6
⇒ 0.004096