Please help me with this math problem!!!

Prob( red die shows > 3) = 1/2
Prob ( green dye shows < 3) = 1/3
Required probability = P( red> 3) * P(green not < 3) + P(red not > 3) * P(green <3)
= 1/3*2/3 + 1/2*1/3
= 7/18
Note i have excluded the possibillty that red > 3 AND green < 3.