Answers CARE_24_25_TX-Mathematical Models with Applications B Sample SpaceQuestion 13

13

QuizMultiple Choice

Sample Space

Question 13 • CARE_24_25_TX-Mathematical Models with Applications B

List all the elements of the sample space for the following experiment:You roll a die and toss a penny.

Answer

A

(1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, T), (2, T), (3, T), (4, T), (5, T), (6, T)

B

(1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, H), (2, H), (3, H), (4, H), (5, H), (6, H)

C

(1, T), (2, T), (3, T), (4, T), (5, T), (6, T), (1, T), (2, T), (3, T), (4, T), (5, T), (6, T)

D

(1, H), (3, H), (5, H), (2, T), (4, T), (6, T)

Explanation

The die can show any of 1, 2, 3, 4, 5, or 6, and the penny can land heads (H) or tails (T). Pair each die result with both coin outcomes, giving 6 × 2 = 12 possible outcomes. Choice A lists all 12 pairs: each number paired once with H and once with T.

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