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Chapter 5: Q 86. (page 331)

Urban voters In the election described in Exercise 84, if the candidate’s predictions come true, what percent of her votes come from black voters? (Write this as a conditional probability and use the definition of conditional probability.)

Short Answer

Expert verified

The percentage of her votes comes from black voters is 62.07%

Step by step solution

01

Step 1. Given Information

In a major city, 40percent of white voters, 40 percent black voters, and 20% Hispanic voters make up the voting population.

02

Step 2. Concept Used

Condition probability: P(A/B)=P(A∩B)/P(B)

03

Step 3. Calculation

The tree diagram is shown below, according to the question:

P(Support)=0.5800P(black∩Support)=0.3600

conditional probability: P(A/B)=P(A∩B)/P(B)

As a result, the following was obtained:

P(black/Support)=P(black∩Support)P(support)=0.360.58=0.6207=62.07%

As a result, black voters account for 62.07% of her ballots.

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