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

Ask by Reid Flynn. in the United States
Jan 22,2025

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Tutor-Verified Answer

Answer

The probability is \( \frac{1}{4} \).

Solution

To determine the probability that a randomly chosen month starts with the letter **J**, let's first identify all the months that begin with **J**: 1. **January** 2. **June** 3. **July** There are **3** months that start with the letter **J** out of the **12** months in a year. So, the probability \( P \) is calculated as: \[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{3}{12} = \frac{1}{4} \] However, based on the answer choices provided: - \( \frac{5}{24} \) - \( \frac{1}{6} \) - \( \frac{1}{4} \) - \( \frac{5}{12} \) The correct probability that a randomly chosen month starts with the letter **J** is: \[ \boxed{\dfrac{1}{4}} \]

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There are 12 months in a year, and the months that start with the letter "J" are January, June, and July. This gives us a total of 3 favorable outcomes. The probability can be calculated as the number of favorable outcomes divided by the total number of outcomes, which is \( \frac{3}{12} = \frac{1}{4} \). So, the correct answer is \( \frac{1}{4} \). Now, how about we spice it up a little? How often do you get a chance to celebrate all three "J" months? January is full of fresh starts and resolutions, June brings sunny vibes and summer fun, and by July, you're in full-blown summer mode—think BBQs and vacations! Each month offers unique moments to enjoy. And if you want to dive deeper into the quirks of our calendar, check out various cultures and their own month names and structures. You'd be surprised how many calendars exist around the world, each packed with its fascinating history and traditions!

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