Question

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

(a) How 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

(a) are equally likely.

(b) What is the probability that the sum on the two dice comes out to be 9?

(c) What is the probability that the sum on the two dice comes out to be 12?

(d) What is the probability that the numbers on the two dice are equal?

Answer 1

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)