Karen arrives at the subway station every day at a random time and takes the first train that arrives. If she takes the A train, which arrives regularly every hour, she goes to the museum. If she takes the B train, which also arrives regularly every hour, she goes to the beach. A month after starting this game, she has gone to the beach 25 times and to the museum 5 times. Of the following options, which is the most likely explanation? Choose the correct answer below. OA. The A train always arrives 10 minutes after the B train, so Karen decides to wait for train A so she does not need to rush. OB. The A train always arrives 10 minutes before the B train, but Karen chooses to take train B. OC. The A train always arrives 10 minutes before the B train, but Karen misses train A and takes train B. OD. The A train arrives on the hour and the B train always arrives 30 minutes later, but Karen chooses wait the extra 30 minutes for train B. E. The A train always arrives 10 minutes after the B train, so Karen takes train B and does not wait for train A.

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Chapter1: Functions And Models
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which one is correct?plz explain

**Probability Scenario Analysis: Subway Train Arrival and Destination Choices**

**Scenario Description:**
Karen arrives at the subway station every day at a random time and takes the first train that arrives. If she takes the A train, which arrives regularly every hour, she goes to the museum. If she takes the B train, which also arrives regularly every hour, she goes to the beach. A month after starting this game, she has gone to the beach 25 times and to the museum 5 times. Of the following options, which is the most likely explanation?

---

**Multiple-Choice Question:**
**Choose the correct answer below.**

1. A. The A train always arrives 10 minutes after the B train, so Karen decides to wait for train A so she does not need to rush.

2. B. The A train always arrives 10 minutes before the B train, but Karen chooses to take train B.

3. C. The A train always arrives 10 minutes before the B train, but Karen misses train A and takes train B.

4. D. The A train arrives on the hour and the B train always arrives 30 minutes later, but Karen chooses to wait the extra 30 minutes for train B.

5. E. The A train always arrives 10 minutes after the B train, so Karen takes train B and does not wait for train A.

---

In this scenario, Karen is more likely to take the B train to the beach based on the frequency; the observations indicate that she has taken the B train 25 times and the A train 5 times in a month. The most suitable explanation among the options provided needs to consider this significant difference in frequency.

Given the frequencies:
- Beach: 25 times
- Museum: 5 times

The correct answer should align with the higher likelihood of Karen taking the B train. 

**Explanation of Correct Answer:**
Option E is the most logical choice because it aligns with the observed frequency:
- If the A train always arrives 10 minutes after the B train, Karen would often take the B train rather than wait for the A train to arrive.
- This explanation matches the higher frequency of trips to the beach (25 times).

**Conclusion:**
The most plausible explanation based on the information provided is:
**Option E: The A train always arrives 10 minutes after the B train, so Karen takes train B and does not wait for train A.**
Transcribed Image Text:**Probability Scenario Analysis: Subway Train Arrival and Destination Choices** **Scenario Description:** Karen arrives at the subway station every day at a random time and takes the first train that arrives. If she takes the A train, which arrives regularly every hour, she goes to the museum. If she takes the B train, which also arrives regularly every hour, she goes to the beach. A month after starting this game, she has gone to the beach 25 times and to the museum 5 times. Of the following options, which is the most likely explanation? --- **Multiple-Choice Question:** **Choose the correct answer below.** 1. A. The A train always arrives 10 minutes after the B train, so Karen decides to wait for train A so she does not need to rush. 2. B. The A train always arrives 10 minutes before the B train, but Karen chooses to take train B. 3. C. The A train always arrives 10 minutes before the B train, but Karen misses train A and takes train B. 4. D. The A train arrives on the hour and the B train always arrives 30 minutes later, but Karen chooses to wait the extra 30 minutes for train B. 5. E. The A train always arrives 10 minutes after the B train, so Karen takes train B and does not wait for train A. --- In this scenario, Karen is more likely to take the B train to the beach based on the frequency; the observations indicate that she has taken the B train 25 times and the A train 5 times in a month. The most suitable explanation among the options provided needs to consider this significant difference in frequency. Given the frequencies: - Beach: 25 times - Museum: 5 times The correct answer should align with the higher likelihood of Karen taking the B train. **Explanation of Correct Answer:** Option E is the most logical choice because it aligns with the observed frequency: - If the A train always arrives 10 minutes after the B train, Karen would often take the B train rather than wait for the A train to arrive. - This explanation matches the higher frequency of trips to the beach (25 times). **Conclusion:** The most plausible explanation based on the information provided is: **Option E: The A train always arrives 10 minutes after the B train, so Karen takes train B and does not wait for train A.**
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