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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

`A_(3)`

B

`A_(4)`

C

`A_(5)`

D

`A_(6)`

Text Solution

Verified by Experts

The correct Answer is:
A
`P(A_(2))=18/36,`
`P(A_(3))=12/36=1/3,`
`P(A_(4))=9/36=1/4`
`P(A_(5))=7/36`
`P(A_(6))=6/36=1/6`
Hence, `A_(3)` is most probable.
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