Question

list all the elements of the sample space for the following experiment: you spin each of these spinners once. a. (a, 1),(a, 2),(a, 3),(a, 4),(b, 1),(b, 2),(b, 3),(b, 4) b. (a, 1),(a, 2),(a, 3),(a, 4),(b, 1),(b, 2),(b, 3),(b, 4),(d, 1),(d, 2),(d, 3),(d, 4) c. (b, 1),(b, 2),(b, 3),(c, 1),(c, 2),(c, 3) d. (c, 1),(c, 2),(c, 3),(c, 4),(d, 1),(d, 2),(d, 3),(d, 4),(a, 1),(a, 2),(a, 3),(a, 4)

Explanation:

Step1: Understand sample - space concept

The sample space is the set of all possible outcomes. When we spin two spinners, we find all pairs of outcomes from each spinner.

Step2: List all combinations

The first spinner has 4 outcomes (A, B, C, D) and the second spinner has 4 outcomes (1, 2, 3, 4). We form pairs by combining each outcome of the first spinner with each outcome of the second spinner.
The pairs are: (A, 1), (A, 2), (A, 3), (A, 4), (B, 1), (B, 2), (B, 3), (B, 4), (C, 1), (C, 2), (C, 3), (C, 4), (D, 1), (D, 2), (D, 3), (D, 4)

Answer:

d. (C, 1), (C, 2), (C, 3), (C, 4), (D, 1), (D, 2), (D, 3), (D, 4), (A, 1), (A, 2), (A, 3), (A, 4)