Using the 36 possibilities found in the product table for rolling two dice, list and count the outcomes for which the sum (for both dice) is the multiple of 11

Outcome = (5,6) and (6,5)

Count = 2

Step-by-step explanation:

For simplicity, I've added the product table as an attachment and I'll use the attachment as a point of reference.

The sample space of the first die is:.

S1 = {1,2,3,4,5,6}

For the second

S2 = {1,2,3,4,5,6}

Looking at the attachment, the outcomes that are multiples of 11 are

(5,6) and (6,5) because when 5 and 6 or 6 and 5 are added together, we get a 11 which is a multiple of 11.

So, we have;

Outcome = (5,6) and (6,5)

And the count is 2

So, we have:

Count = 2