1.A = event the die comesup even B = event the die comes up odd C = event the die comes up 4ormore D = event the die is at most2

E = event the die comes up 3

(A)

Are events C and D mutuallyexclusive?

(B)

Are events C and E mutuallyexclusive?

(C)

Are events A and D mutuallyexclusive?

(D)

Are there any 4 mutually exclusive events among A, B, C, D andE?

NO

(E)

Are events A and C mutuallyexclusive?

2.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 arethere?

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 be12?

(C)What is the probability that the sum on the two dice comes out to be11?

(D)What is the probability that the numbers on the two dice areequal?

Hint:Green 1 2 3 4 5 6

1 2

2 create a 6 x 6 matrix of thesums

Red 3

4

5 11

6 12