Under the conditions in Example 5, find the probabilities of the following events (each event refers to the sum of the dots facing up on both dice):

(A) E₅ = a sum of 5 turns up

(B) E₆ = a sum that is a prime number greater than 7 turns up

Data from Example 5

Let us again consider rolling two dice, and assume that each simple event in the sample space shown in Figure 2 (page 398) is as likely as any other. Find the probabilities of the following events:

E₁ = a sum of 7 turns up

E₂ = a sum of 11 turns up

E₃ = a sum less than 4 turns up

E₄ = a sum of 12 turns up

Transcribed Image Text:

Figure 2 First Die (1, 1) (2, 1) (3, 1) (4,1) (5, 1) (6, 1) (1, 2) (2, 2) (3,2) (4,2) (5,2) (6,2) Second Die (1,3) (2,3) (3,3) (4,3) (5.3) (6,3) (1,4) (2,4) (3,4) (4,4) (5,4) (6,4) (1,5) (2,5) (3,5) (4,5) (5,5) (6,5) 232 Fer (1,6) (2,6) (3,6) (4,6) (5,6) (6,6)