A month of the year is chosen at random. What is the probability that the month starts with the letter \( J \) or the letter \( \frac{5}{24} \) \( \frac{1}{6} \) \( \frac{1}{4} \) \( \frac{5}{12} \)

To find the probability that a randomly chosen month starts with the letter \( J \), we first need to identify the months that start with \( J \). The months of the year are: 1. January 2. February 3. March 4. April 5. May 6. June 7. July 8. August 9. September 10. October 11. November 12. December The months that start with the letter \( J \) are: - January - June - July So, there are 3 months that start with \( J \). Next, we calculate the total number of months, which is 12. The probability \( P \) that a randomly chosen month starts with the letter \( J \) is given by the formula: \[ P(J) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{12} \] Now, we simplify \( \frac{3}{12} \): \[ P(J) = \frac{1}{4} \] Thus, the probability that the month starts with the letter \( J \) is \( \frac{1}{4} \). The correct answer is \( \frac{1}{4} \).