Two dice are thrown simultaneously. What is the probability that the sum of numbers coming up on the dice is divisible by 4?
Total number of possibilities = {(1,1),(1,2),(1,3)...........(6,4),(6,5),(6,6)} = 36 outcomes
Number of favourable outcomes = {(1,3),(2,2),(2,6),(3,1)(3,5),(4,4),(5,3),(6,2),(6,6)} = 9 outcomes
Thus, the probability = 9/36 = ¼