Question

a month of the year is chosen at random. what is the probability that the month starts with the letter j or the letter m?

Explanation:

Step1: Count months starting with J

There are 3 months (January, June, July) starting with J.

Step2: Count months starting with M

There are 2 months (March, May) starting with M.

Step3: Calculate total favorable months

The total number of months starting with J or M is $3 + 2=5$.

Step4: Calculate probability

The total number of months in a year is 12. The probability $P$ is $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{5}{12}$.

Answer:

$\frac{5}{12}$