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. For which one of the following (I,j) are the events `A_(i)and A_(j)` independent ?A. `(3,4)`B. `(4,6)`C. `(2,3)`D. `(4,2)`

Two fair dice are rolled. Let `P(A_(i))gt0` donete the event that the

1.	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. For which one of the following (I,j) are the events `A_(i)and A_(j)` independent ?A. `(3,4)`B. `(4,6)`C. `(2,3)`D. `(4,2)`
Answer» Correct Answer - 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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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. For which one of the following (I,j) are the events `A_(i)and A_(j)` independent ?A. `(3,4)`B. `(4,6)`C. `(2,3)`D. `(4,2)`

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