Two dice A and B are rolled. Let the numbers obtained on A and B be α and β respectively. If the variance of α - β is p q , where p and q are co-prime, then the sum of the positive divisors of p is equal to

Step-by-step solution

Given that variance of α - β is p q α ∈ 1 ,   2 ,   3 ,   4 ,   5 ,   6 β ∈ 1 ,   2 ,   3 ,   4 ,   5 ,   6 α - β = 0 ( 6 case) α - β = - 1 ( 5 case) α - β = - 2 ( 4 case) α - β = - 3 ( 3 case) α - β = - 4 ( 2 case) α - β = - 5 ( 1 case) α - β = 1 ( 5 case) α - β = 2 ( 4 case) α - β = 3 ( 3 case) α - β = 4 ( 2 case) α - β = 5