MAT 142 3.5 Complements and Unions of Events

# MAT 142 3.5 Complements and Unions of Events

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1. In a study of fatal car accidents, some accidents were attributed to high speed or drunk driving.

• The probability that the fatality was attributed to high speeds was 0.57
• The probability that the fatality was attributed to drunk driving was 0.62
• The probability that high speed and drunk driving caused the accident was 0.41

Hint: Make a Venn Diagram

a. What is the probability that a fatal accident will be attributed to high speeds or drunk driving?
b. What is the probability that a fatal accident will be attributed to neither cause?
c. What is the probability that the fatality will be attributed to drunk driving, but not high speeds?

2. A recent poll yielded the following results.

Support the legalization of Marijuana (L) Support Health-care Reform (H) Support Stem-cell Research (S) Total
Male (M) 600 365 535 1500
Female (F) 418 559 523 1500
Total 1018 924 1058 3000

a. Find $P(M \cup H)$
b. Find $P(L')$
c. Find $P(F \cap S)$

MAT 142

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Excerpt from file: Math Tutorial MAT 142 Problem set Unit: Probability Topic: Complements and Unions of Events Directions: Solve the following problems. Please show your work and explain your reasoning. 1. In a study of fatal car accidents, some accidents were attributed to high speed or drunk driving. The

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