Problem: Days of the Week Probability
The task involves calculating probabilities related to the days of the week. Let's solve each question step by step.
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1. What is the probability of picking Friday at random?
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Total number of days in a week: 7 (Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday).
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Favorable outcome: Picking "Friday" (only 1 day).
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Probability formula:
\[
P(\text{Friday}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{7}
\]
Answer: $\boxed{\frac{1}{7}}$
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####
2. What is the probability of picking a day that begins with the letter "S"?
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Days that begin with "S": Saturday and Sunday (2 days).
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Total number of days: 7.
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Probability formula:
\[
P(\text{Day beginning with "S"}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{7}
\]
Answer: $\boxed{\frac{2}{7}}$
---
####
3. What is the probability of picking a day that begins with the letter "T"?
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Days that begin with "T": Tuesday and Thursday (2 days).
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Total number of days: 7.
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Probability formula:
\[
P(\text{Day beginning with "T"}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{7}
\]
Answer: $\boxed{\frac{2}{7}}$
---
####
4. What is the probability of picking a day that begins with the letter "M"?
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Days that begin with "M": Monday (1 day).
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Total number of days: 7.
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Probability formula:
\[
P(\text{Day beginning with "M"}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{7}
\]
Answer: $\boxed{\frac{1}{7}}$
---
####
5. What is the probability of picking a weekend day?
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Weekend days: Saturday and Sunday (2 days).
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Total number of days: 7.
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Probability formula:
\[
P(\text{Weekend day}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{7}
\]
Answer: $\boxed{\frac{2}{7}}$
---
####
6. What is the probability of picking a day with 6 letters total?
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Days with 6 letters: Monday, Friday, Sunday (3 days).
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Total number of days: 7.
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Probability formula:
\[
P(\text{Day with 6 letters}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{7}
\]
Answer: $\boxed{\frac{3}{7}}$
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Final Answers:
1. $\boxed{\frac{1}{7}}$
2. $\boxed{\frac{2}{7}}$
3. $\boxed{\frac{2}{7}}$
4. $\boxed{\frac{1}{7}}$
5. $\boxed{\frac{2}{7}}$
6. $\boxed{\frac{3}{7}}$
Parent Tip: Review the logic above to help your child master the concept of probability worksheets pdf.