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Two fair dice are rolled. Let P(A(i))gt0...

Two fair dice are rolled. Let `P(A_(i))gt0` donete the event that the sum of the faces of the dice is divisible by i.
Which one of the following events is most probable?

A

`(3,4)`

B

`(4,6)`

C

`(2,3)`

D

`(4,2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`P(A_(2))=1/2,P(A_(3))=1/3,P(A_(6))=1/6`
`thereforeP(A_(2)nnA_(3))=P(A_(2))P(A_(3))`
`impliesP(A_(6))=P(A_(2))P(A_(3))`
`6/36=1/2xx1/3`
Hence, `A_(2)and A_(3)` are independent.
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