In Vancouver, British Columbia, the probability of rain during a winter day is 0.58, for a spring day it is 0.38, for a summer day it is 0.25 and for a fall day it is 0.53.  Each of the four seasons lasts one quarter of the year.  If you were told that on a particular day it was raining in Vancouver, what would be the probability that this day would be a winter day? The answer should be a number between 0 and 1. How to know which probability formula to use?

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In Vancouver, British Columbia, the probability of rain during a winter day is 0.58, for a spring day it is 0.38, for a summer day it is 0.25 and for a fall day it is 0.53.  Each of the four seasons lasts one quarter of the year.  If you were told that on a particular day it was raining in Vancouver, what would be the probability that this day would be a winter day? The answer should be a number between 0 and 1.

How to know which probability formula to use?

Expert Solution
Step 1

Let E1 = Event that the selected day is a winter day

E2 = Event that the selected day is a spring day

E3 = Event that the selected day is a summer day

E4 = Event that the selected day is a fall day

R = Event that there is a rain on the selected day

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