Seven (distinct) car accidents occurred in a week. What is the probability…
2001
Seven (distinct) car accidents occurred in a week. What is the probability that they all occurred on the same day?
Answer: B. 1/7^6 — Each of the 7 distinct accidents can occur on any one of the 7 days of the week. Total possible day assignments = 7^7. For all accidents to occur on the same…
- A.
1/7^7
- B.
1/7^6
- C.
1/2^7
- D.
7/2^7
Attempted by 23 students.
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Correct answer: B
Each of the 7 distinct accidents can occur on any one of the 7 days of the week.
Total possible day assignments = 7^7.
For all accidents to occur on the same day, choose that common day in 7 ways: all on Monday, all on Tuesday, and so on.
Favourable outcomes = 7.
Therefore, probability = 7 / 7^7 = 1 / 7^6. Hence, option B is correct.
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