It snows in Greenland an average of once in 20 days, and when it does, glaciers have a 25% chance of growing. When it does not snow in Greenland, glaciers have only a 5% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing Please, round your answer to four decimal places.
A)0.1667
B) 0.8333
C) 0.2083
D) 0.3333
E) 0.7917

Question

It snows in Greenland an average of once in 20 days, and when it does, glaciers have a 25% chance of growing. When it does not snow in Greenland, glaciers have only a 5% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing  Please, round your answer to four decimal places.  
A)0.1667
B) 0.8333
C) 0.2083
D) 0.3333
E) 0.7917

Quizplus · Accepted Answer

The probability of it snowing in Greenland is 1/20, and the probability of glaciers growing when it snows is 0.25. Therefore, the probability of both snowing and glaciers growing is (1/20) * 0.25 = 0.0125. The probability of it not snowing is 19/20, and the probability of glaciers growing when it does not snow is 0.05. Therefore, the probability of it not snowing and glaciers growing is (19/20) * 0.05 = 0.0475. The total probability of glaciers growing is 0.0125 + 0.0475 = 0.06. The probability that it is snowing when glaciers are growing is the probability of both snowing and glaciers growing divided by the total probability of glaciers growing, which is 0.0125 / 0.06 = 0.2083.

It Snows in Greenland an Average of Once in 20