A die is thrown four times. The probality of getting perfect square in at least one throw is

Options

A. `(16)/(81)`
B. `(65)/(81)`
C. `(23)/(81)`
D. `(58)/(81)`

Answer

B

Explanation

A die is thrown four time
`:.n=4`
p ( probability of getting perfect square i.e. 1,4)
Here, `p=(2)/(6)=(1)/(3)`
`q=1-p=1-(1)/(3)=(2)/(3)`
`:.` Required probability
`=P(X ge 1)=1-P(X=0)`
`=1-.^(4)C_(0)(1/3)^(@)(2/3)^(4)=1-(16)/(81)=(65)/(81)`