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?
$\frac{5}{24}$
$\frac{1}{6}$
$\frac{1}{4}$
$\frac{5}{12}$

Explanation:

Step1: Identify total possible outcomes

Total months in a year: $12$

Step2: Identify favorable outcomes

Months starting with J: January, June, July (3 months)
Months starting with M: March, May (2 months)
Total favorable outcomes: $3+2=5$

Step3: Calculate probability

Probability = $\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}$ = $\frac{5}{12}$

Answer:

$\frac{5}{12}$