1
AssignmentMultiple Choice

Introduction to Random Variables

Question 1 • NC-Math 4

Which of the following scenarios would generate outcomes and probabilities that are equivalent to identifying the sex of 3 successive children?

Answer
A
flipping a fair coin 2 times
B
flipping a fair coin 3 times
C
rolling a fair die 2 times
D
rolling a fair die 3 times

Explanation

Each child has two possible outcomes: male or female. For 3 successive children, there are 2 × 2 × 2 = 8 equally likely outcome sequences. Flipping a fair coin 3 times also produces 2 × 2 × 2 = 8 equally likely sequences, so it is equivalent; rolling a die would give six possibilities on each roll.

AI-written and checked against the verified answer.