Total number of outcomes when two dice are thrown
=6×6 ∴n(S)=36 Let
E= outcomes in which product of two number is even
={(1,2),(1,4),(1,6),(2,1),(2,2),(2,3),(2,4)
(2,5),(2,6),(3,2),(3,4),(3,6),(4,1),(4,2),(4,3),
(4,4),(4,5),(4,6),(5,2),(5,4),(5,6),(6,1),(6,2),
(6,3)(6,4),(6,5),(6,6)}
∴n(E)=27 ∴ Required probability
=P(E) = ==