22
QuizMultiple Choice

Unit Test — Unit test

Question 22 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

Suppose that 71% of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 6 locations are generated, what is the probability that at least 1 of those locations is over land?

Answer
A
0.0006
B
0.1281
C
0.8719
D
0.9994

Explanation

Since 71% of Earth is water, the probability that one location is over land is 1 − 0.71 = 0.29. It is easier to find the probability that all 6 locations are over water: 0.71⁶ ≈ 0.1281. Therefore, the probability that at least 1 is over land is 1 − 0.1281 = 0.8719, or about 87.19%. The correct choice is C, 0.8719.

AI-written and checked against the verified answer.

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