10. Four hundred accidents that occurred on a Saturday night were analyzed. The number of vehicles involved and whether alcohol played a role in the accident were recorded. The results are shown below: a. Did alcohol play a role? Yes No Totals Number of Vehicles Involved 3 or more 2 1 55 29 Involved alcohol or a single car? 594 84 99 178 277 Suppose that one of the 400 accidents is chosen at random. What is the probability that the accident: b. Involved 3 or more vehicles or involved alcohol? 16 23 39 C. Involved 3 or more vehicles given alcohol was involved? Totals 170 230 400

A First Course in Probability (10th Edition)
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The document presents the analysis of 400 accidents that occurred on a Saturday night. The analysis focuses on the number of vehicles involved and whether alcohol played a role. The results are organized in a table format with the following columns and rows:

**Table Title:** Analysis of Saturday Night Accidents

**Columns:**
1. Did alcohol play a role? (Yes/No)
2. Number of Vehicles Involved (1 or 2 / 3 or More)

**Rows:**
- **Totals for 1 or 2 vehicles involved:**
  - No alcohol: 39 accidents
  - Alcohol: 55 accidents
  - Total: 94 accidents

- **Totals for 3 or more vehicles involved:**
  - No alcohol: 29 accidents
  - Alcohol: 16 accidents
  - Total: 45 accidents

- **Grand Totals:**
  - Total without alcohol: 68 accidents
  - Total with alcohol: 71 accidents
  - Total number of accidents: 400

**Questions:**

a. What is the probability that the accident involved alcohol or a single car?

b. What is the probability that the accident involved 3 or more vehicles or involved alcohol?

c. What is the probability that the accident involved 3 or more vehicles given that alcohol was involved?
Transcribed Image Text:The document presents the analysis of 400 accidents that occurred on a Saturday night. The analysis focuses on the number of vehicles involved and whether alcohol played a role. The results are organized in a table format with the following columns and rows: **Table Title:** Analysis of Saturday Night Accidents **Columns:** 1. Did alcohol play a role? (Yes/No) 2. Number of Vehicles Involved (1 or 2 / 3 or More) **Rows:** - **Totals for 1 or 2 vehicles involved:** - No alcohol: 39 accidents - Alcohol: 55 accidents - Total: 94 accidents - **Totals for 3 or more vehicles involved:** - No alcohol: 29 accidents - Alcohol: 16 accidents - Total: 45 accidents - **Grand Totals:** - Total without alcohol: 68 accidents - Total with alcohol: 71 accidents - Total number of accidents: 400 **Questions:** a. What is the probability that the accident involved alcohol or a single car? b. What is the probability that the accident involved 3 or more vehicles or involved alcohol? c. What is the probability that the accident involved 3 or more vehicles given that alcohol was involved?
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