Two six-sided dice are rolled (one red and one green). Some possibilities are (Red=1,Green=5) or (Red=2,Green=2) etc.

AHow many total possibilities are there?

For the rest of the questions, we will assume that the dice are fair and that all of the possibilities in

Aare equally likely.

BWhat is the probability that the sum on the two dice comes out to be 9?

CWhat is the probability that the sum on the two dice comes out to be 12?

DWhat is the probability that the numbers on the two dice are equal?

Verified Answer :

A.) There are going to be 72 total possibilities. 
Because if you have 6 times 6 is 36 times 2 is 72. 
B.) The probability that the sum on the dice come out to be 11 is 2:72 
Because you can only have (6,5) and (5,6) 
C.) The probability that the sum on the two dice comes out to be 7 is 6:72 
Because you have (6,1) (1,6) (5,2) (2,5) (4,3) (3,4) 
D.) The probability that the numbers on the two dice are equal is 6:72 
Because you have (6,6) (5,5) (4,4) (3,3) (2,2,) (1,1)