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 the water and the last 2 locations are on land?

Answer 1

The correct answer is B. 0.0152

Explanation:

(.71)^5 X (.29)^2

Answer 2

The probability that it will be on land is 0.29 and the probability of water is 0.71.

Explanation:

Since each randomly generated latitude-longtitude pairs are unbound, the earth to water ratio is the key factor that determines whether the location is going to be on land or in the water.

The probability for any location to be in the water is 71% or 0.71 since the probability is between 0 and 1. The probability for any location to be on land is 29% or 0.29.

I hope this answer helps.