There cars participate in a race . The probability that any one of them has an accident is 0.1 . Find the probability that all the cars reach that finishing line without any accident .

Answer

`(729)/(1000)`

Explanation

`p=(1)/(10),q=(1-(1)/(10)) =(9)/(10) "and "n=3`
`P(X=r) =.^(n)C_(r ).p^(r ) .q^((n-r)) =^(3)C_(r ).((1)/(10))^(r ).((9)/(10))^((3 -r))`
`P(X=0) =.^(3)C_(0).((9)/(10))^(3)`