Question

If a spinner has three same-sized sectors numbered 1, 3, and 5, and a coin is tossed, what is the sample space of outcomes?

a) {11, 13, 15, 31, 33, 35, 51, 53, 55, tt, th, ht, hh}
b) {1, 3, 5, h, t}
c) {1h, 3h, 5h, 1t, 3t, 5t}
d) {135, ht}

Answer 1

The sample space of outcomes consists of all possible combinations of the spinner and coin outcomes.

Step-by-step explanation:

The sample space of outcomes for the given scenario can be obtained by listing all the possible outcomes. The spinner has 3 sectors numbered 1, 3, and 5, and the coin has 2 sides, heads (H) and tails (T). Therefore, the sample space consists of all possible combinations of the spinner and coin outcomes:

{11, 13, 15, 31, 33, 35, 51, 53, 55, HH, HT, TH, TT}

Thus, the correct answer is option a) {11, 13, 15, 31, 33, 35, 51, 53, 55, HH, HT, TH, TT}.