Question

The data give the average number of days in May that are clear and cloudy in

two cities.
On a day in May, what is the probability that it is clear, given that you are in
San Antonio? Explain how you found the answer and round your answer to
two decimal places.
A. 0.57, because 17 of the 30 days were clear
B. 0.26, because 6 of the 23 days were clear
C. 0.10, because 6 of the 60 days were clear
D. 0.20, because 6 of the 30 days were clear​

Answer 1

The probability that a given day in May is clear in San Antonio is 0.57, calculated by dividing the 17 clear days by the total number of days in May (30) and rounding to two decimal places.

Step-by-step explanation:

To find the probability that it is clear, given that you are in San Antonio, we look at the ratio of clear days to the total number of days in May. The question states that 17 of the 30 days are clear. Therefore, we calculate the probability by dividing the number of clear days by the total number of days in May.

Probability of a clear day = Number of clear days / Total number of days = 17/30

When we perform the division, we get 0.5666, which rounded to two decimal places is 0.57. The correct choice is:

A. 0.57, because 17 of the 30 days were clear

This means that for San Antonio, the probability that any given day in May is clear is 0.57 when rounded to two decimal places.