Consider an experiment of rolling two dice. Figure 2 shows a convenient sample space that will enable us to answer many questions about interesting events. Let S be the set of all ordered pairs in the figure. The simple event (3, 2) is distinguished from the simple event (2, 3). The former indicates that a 3 turned up on the first die and a 2 on the second, while the latter indicates that a 2 turned up on the first die and a 3 on the second

What is the event (subset of the sample space S) that corresponds to each of the following outcomes?

(A) A sum of 7 turns up. 

(B) A sum of 11 turns up.

(C) A sum less than 4 turns up. 

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