Question

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 7 such locations are generated, what is the probability that the first 5 locations are in water and the last 2 locations are on land?

A. 0.0010
B. 0.0152
C. 0.0910
D. 0.9090

Answer 1

The answer is D. 0.9090. This can be calculated by taking the probability of a location being in water (71%) and combining it with the probability of the remaining locations being on land (29%). This gives us the probability of 0.71^5 * 0.29^2 = 0.9090.

Answer 2

0.0152 is the probability that the first 5 locations are in water and the last 2 locations are on land.