On a single roll of two number cubes are rolling a sum of 6 and rolling doubles independent events?

Step-by-step explanation:

A - > Rolling a sum of 6 (Can occur with (1,5), (5,1), (3,3), (2,4), (4,2)

B - > Rolling Doubles (Can occur in 6 different ways)

P (A) = 5/36

P (B) = 6/36 = 1/6

P (A) * P (B) = (5/36) * (1/36)

= 5/1296

P (A∩B) = 1/36 (This only happens when (3,3) is rolled

In this case,

P (A) * P (B) = / = P (A∩B)

Hence, they are not independent, which means that their occurence affects the others' probability.