Question

Over the course of the school year, you keep track of how much snow falls on a given day and whether it was a snow day. Your data indicates that of twenty-one days with less than three inches of snow, five were snow days, while of the eight days with more than three inches of snow, six were snow days. If all you know about a day is that it is snowing, what is the probability that it will be a snow day?

Answer 1

Probability of the day to be a snow day is 0.34

Explanation:

We have the data,

Out of 21 which had less than 3 inches of snow, 5 were snow days.

Out of 8 days which had more than 3 inches of snow, 6 were snow days.

So, we get,

Total number of days = 21 + 8 = 29

Total number of snow days = 5 + 6 = 11

Thus, the probability that the day will be a snow day is
`(11)/(29)` i.e. 0.34

Hence, the probability of the day to be a snow day is 0.34.