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A fair die is thrown twice. Let (a, b) d...

A fair die is thrown twice. Let (a, b) denote the outcome in which the first throw shows 'a' and the second throw shows 'b' . Let A and B be the following events :
A={(a,b): a is even}, B={(a,b): b is even}
Statement-1: If C={(a,b): a+b is odd}, then
`P(A cap B cap C)=(1)/(8)`
Statement-2: If D={(a,b): a+b is even}, then
`P(A cap B cap D// A cup B)=(1)/(3)`

A

Statement-1 is true, Statement-2 is true: Statement-2 is a correct explanation for Statement-1

B

Statement-1 is true, Statement-2 is true: Statement-2 is not a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

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