6
QuizMultiple Choice

Probability Rules

Question 6 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

For students majoring in Hospitality Management, it was determined that 5% have visited 1–10 states, 16% have visited 11–20 states, 45% have visited 21–30 states, 19% have visited 31–40 states, and 15% have visited 41–50 states. Suppose a Hospitality Management student is picked at random. What is the probability that the student has not visited between 21 and 30 states?

Answer
A
0.21
B
0.34
C
0.45
D
0.55

Explanation

The probability of having visited 21–30 states is 45%, or 0.45. The probability of not being in that group is the complement: 1 − 0.45 = 0.55. Therefore, the probability is 0.55, choice D.

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