In Columbia SC the average number of days per year where the

In Columbia, SC the average number of days per year where the low temperature is below freezing is 55. The number of days per year where the low temperature is below freezing and it snows is about 2 days. Assume that each year has exactly 365 days.

(a) What is the probability that it snows and the low temperature is below freezing on a random day of the year?

(b) Given the low temperature is below freezing, what is the probability that it snows?

Solution

(a)

2 days it snows and temperature if below freezing in total 365 days.

So required probability is: 2/365

(b)

There are 55 below freezing days and 2 such days it snows

So required probability is: 2/55