10
QuizMultiple Choice

Probability Rules

Question 10 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

Sports science researchers determined that, for those people who skateboard, 22% have never had an injury, 45% have had one injury, 18% have had two injuries, and 15% have had three or more injuries. What is the probability that a randomly chosen skateboarder has had at least one injury?

Answer
A
0.22
B
0.45
C
0.50
D
0.78

Explanation

At least one injury includes skateboarders who have had one, two, or three or more injuries. Add those probabilities: 0.45 + 0.18 + 0.15 = 0.78. Equivalently, subtract the 0.22 who have never been injured from 1. The probability is 0.78, choice D.

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