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(AcapB 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

Options

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