A plicement 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 the burglar is still unhurt ?

Answer

`0.004096`

Explanation

`p=(6)/(10)=(3)/(5),q=(1-(3)/(5))=(2)/(5)` and n=6
`P(X =r) =.^(n)C_(r ).p^((n-r)) =.^(6)C_(r ) .((3)/(5))^(r ).((2)/(5))^((6-r))`
`:. P(X=0) =.^(6)C_(0) .((2)/(5))^(6)`