Question

Two voters, al and bill, are each choosing between one of three candidates—1, 2, and 3—who are running for city council. an experimental outcome specifies both al’s choice and bill’s choice,
e.g., the pair (3,2). (a) list all elements of s. (b) list all outcomes in the event a that al and bill make the same choice. (c) list all outcomes in the event b that neither of them votes for candidate 2.

Answer 1

Part A:

The number of outcomes that each of them will have to choose anyone at random is calculated below.
    n = 3 x 3 = 9
This is because, Al will have 3 choices and similarly, Bill will also have three choices. These outcomes are as written below.
   S = (1,1), (1,2), (1,3), (2, 1), (2,2), (2, 3), (3, 1), (3, 2), and (3,3)

Part B: To make the same choice, there will only be three outcomes. These are:
  S = (1, 1), (2, 2) and (3, 3)

Part C: If neither of them will vote for 2, there will only be four outcomes. This is because each of them will only have two choices. These are:
 S = (1, 1), (1, 3), (3, 1), and (3,3)