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The image contains a probability question based on a collection of 40 vinyl records owned by Butch, distributed by decade (40s, 50s, 60s, 70s, 80s). The problem asks for the probability that a randomly selected record comes from specific decades.

Here’s the breakdown from the text:

- 3 records from the 40s
- 6 records from the 50s
- 3 records from the 60s
- 4 records from the 70s
- 8 records from the 80s

The total number of records is 40. For each decade, the probability is the number of records from that decade divided by 40.

### Answers:
1. **Probability it's from the 40s**:  
   \[
   \frac{3}{40}
   \]
   (already given in the problem)

2. **Probability it's from the 50s**:  
   \[
   \frac{6}{40} = \frac{3}{20}
   \]
   (already simplified and given in the problem)

3. **Probability it's from the 60s**:  
   \[
   \frac{3}{40}
   \]
   (already given in the problem)

4. **Probability it's from the 70s**:  
   \[
   \frac{4}{40} = \frac{1}{10}
   \]
   This is the value you need to input for the missing probability.

Let me know if you need any more details or further clarifications.

### Related Questions:
1. What would be the probability if Butch had 5 records from the 80s instead of 8?
2. How would the probabilities change if he added 10 more records from the 90s?
3. If Butch removes 2 records from the 70s, what would be the new probability for that decade?
4. How would you calculate the probability that a record is either from the 40s or the 50s?
5. What is the probability that the record selected is from a decade earlier than the 70s?

### Tip:
When working with probability, ensure that the total (denominator) accurately reflects the complete set you're working with.

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

Calculate the probability of selecting a vinyl record from various decades, given a collection of 40 records. This problem uses basic probability concepts to find the likelihood of choosing records from the 40s, 50s, 60s, and 70s.

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