Question

Two dice are thrown together. Find the probability that the sum of the number on the two faces is divisible by $4$ or $6$.

Answer 1

For sum to be divisible by 4 or 6 sum can be 4,6,8,12

For sum to be 4 possible outcomes are

1 3, 2 2, 3 1

P1=3/36

For sum to be 6 possible outcomes are

1 5, 2 4, 3 3,4 2, 5 1

P2=5/36

For sum to be 8 possible outcomes are

2 6, 3 5, 4 4, 6 2, 5 3

P3=5/36

For sum to be 12 possible outcomes are

6 6

P1=1/36

Total probability=14/36=7/18