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In four throws with a pair of dice, what...

In four throws with a pair of dice, what is the chance of throwing doublets twice at least?

A

`(19)/(144)`

B

`(125)/(144)`

C

`(17)/(144)`

D

`(18)/(144)`

Text Solution

Verified by Experts

The correct Answer is:
A
`P(X=2)+P(X=3)+P(X=4)`
`=""^(4)C_(2)((1)/(6))^(2)((5)/(6))^(2)+""^(4)C_(3)((1)/(6))^(3)((5)/(6))+""^(4)C_(4)((1)/(6))^(4)`
`=(6xx25+20+1)/(1296)=(171)/(1296)=(19)/(144)`
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