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 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?

1. 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)6003655351500

Female (F)4185595231500

Total101892410583000

a. Find P(M?H)

b. Find P(L^')

c. Find P(F?S)