Answers Applications and Modeling Topic TestQuestion 24

24

QuizMultiple Choice

Topic Test

Question 24 • Applications and Modeling

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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