17
QuizMultiple Choice

Probability — Test

Question 17 • Algebra 2 with Probability

Suppose that 71 percent 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 point 1 2 8 1
B
0 point 8 7 1 9
C
0 point 9 9 9 4
D
0 point 0 0 0 6

Explanation

Since 71% of Earth is water, the probability that one randomly selected 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 location is over land is 1 − 0.1281 = 0.8719, or 0.8719 (choice B).

AI-written and checked against the verified answer.

Previous
Next