Question
1) In any given year, what is the probability that July 4 falls on a weekend? \( 1 / 7 \) \( 1 / 7+1 / 7=2 / 7 \) \( 2 / 365 \)
Ask by Vargas Hills. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The probability that July 4 falls on a weekend is \( \frac{2}{7} \).
Solution
To find the probability that July 4 falls on a weekend (Saturday or Sunday) in any given year, we can follow these steps:
1. **Identify the total number of days in a week**: There are 7 days in a week.
2. **Identify the weekend days**: The weekend consists of 2 days: Saturday and Sunday.
3. **Calculate the probability**: The probability that July 4 falls on a weekend can be calculated as the number of favorable outcomes (weekend days) divided by the total number of outcomes (days in a week).
\[
P(\text{July 4 on weekend}) = \frac{\text{Number of weekend days}}{\text{Total days in a week}} = \frac{2}{7}
\]
Thus, the probability that July 4 falls on a weekend is \( \frac{2}{7} \).
The other expressions provided, \( \frac{1}{7} \) and \( \frac{2}{365} \), are not correct in this context. The correct answer is \( \frac{2}{7} \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
Did you know that July 4th, also known as Independence Day in the United States, has a rich history dating back to 1776? It commemorates the adoption of the Declaration of Independence and was first celebrated with fireworks, parades, and festivities. These traditions have evolved over the years, becoming a quintessential part of American culture and summer celebrations! In terms of probability, July 4th can fall on any day of the week, so the chance it lands on a weekend (Saturday or Sunday) is actually 2 out of 7 days—this translates to approximately 28.57%. Remember to keep those BBQ grills ready for some weekend festivities when the 4th makes an appearance on a Saturday or Sunday!
