Consider the following Assume that what is observed are the

Consider the following. (Assume that what is observed are the numbers that face up.) HINT [See Examples 1-3.]

Two indistinguishable dice are rolled; the numbers add to 4.

Describe the sample space S of the experiment. (Select all that apply.)

(2,2) (2,3) (2,4) (2,5) (2,6) (2,7)

(2,2) (2,3) (2,4) (2,5) (2,6)

(3,3) (3,4) (3,5) (3,6)

(4,4) (4,5) (4,6) (4,7)

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (1,7)

(6,6) (6,7)

(6,6)

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(5,5) (5,6) (5,7)

(3,3) (3,4) (3,5) (3,6) (3,7)

(4,4) (4,5) (4,6)

(7,7)

(5,5) (5,6)

List the elements of the given event. (Select all that apply.)

(5,5) (5,6)

(4,4) (3,5) (2,6)

(3,4) (2,5) (1,6)

(1,2)

(1,3) (2,2)

(6,6)

(1,3) (3,1) (2,2)

(4,5) (3,6)

Solution

THe sample space is given by

S = (1,1) (1,2) (1,3) (1,4) (1,5) (1,6),(2,1),(2,2) (2,3) (2,4) (2,5) (2,6),(3,1),(3,2) (3,3) (3,4) (3,5) (3,6),(4,1),(4,2) (4,3) (4,4) (4,5) (4,6),(5,1),(5,2) (5,3) (5,4) (5,5) (5,6)(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

The elements of the given event are

(1,3) (3,1) (2,2)