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The problem asks for the probability that a randomly selected vinyl record from Butch's collection will be from certain decades, given the following information:

- Total records: 60
- Records from the 40s: 7
- Records from the 50s: 2
- Records from the 60s: 7
- Records from the 70s: 6
- Records from the 80s: 12

To calculate the probability for each decade, we use the formula for probability:

\[
P(\text{Decade}) = \frac{\text{Number of records from the decade}}{\text{Total records}}
\]

### Calculations:
1. **Probability it is from the 40s:**
\[
P(\text{40s}) = \frac{7}{60}
\]

2. **Probability it is from the 50s:**
\[
P(\text{50s}) = \frac{2}{60} = \frac{1}{30}
\]

3. **Probability it is from the 60s:**
\[
P(\text{60s}) = \frac{7}{60}
\]

4. **Probability it is from the 70s:**
\[
P(\text{70s}) = \frac{6}{60} = \frac{1}{10}
\]

5. **Probability it is from the 80s:**
\[
P(\text{80s}) = \frac{12}{60} = \frac{1}{5}
\]

Would you like further details on these probabilities or have any questions?

Here are 5 questions related to this information:
1. How does simplifying fractions help in probability problems?
2. What is the sum of the probabilities for all the decades?
3. What if a new decade is added with 5 records? How would you recalculate the probabilities?
4. Can you convert these probabilities into percentages?
5. What would happen to the probabilities if the total number of records were doubled?

**Tip:** Always check if fractions can be simplified when calculating probabilities for cleaner results.

Butch has a collection of 60 vinyl records from throughout the 20th century, including seven from the 40s, two from the 50s, seven from the 60s, six from the 70s, and twelve from the 80s. If he randomly selects one from his collection, find the probability it will be from each of the following decades: 40s, 50s, 60s, 70s, and 80s.

Learn how to calculate the probability that a randomly selected vinyl record from Butch's collection is from specific decades: the 40s, 50s, 60s, 70s, and 80s. This problem covers basic probability concepts and fractional calculations. Suitable for students in Grades 5-8.

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