A political candidate wanted to understand what issues were important to their voters. They asked 1,999 voters, "Which issue is the most important: crime, city planning, or health care?" The results of the survey are shown in the two-way table below:

Crime City Planning Health Care

Male 118 239 458

Female 418 317 449

How many percent is the chance that a person chosen at random from this survey is concerned about crime, given that they are male? Round your answer to the nearest tenth.

A. 5.9% B. 14.5% C. 22.0% D. 26.8%

Question

Mathematics

Cheyenne Rollins

31 December, 17:26

A political candidate wanted to understand what issues were important to their voters. They asked 1,999 voters, "Which issue is the most important: crime, city planning, or health care?" The results of the survey are shown in the two-way table below:

Crime City Planning Health Care

Male 118 239 458

Female 418 317 449

How many percent is the chance that a person chosen at random from this survey is concerned about crime, given that they are male? Round your answer to the nearest tenth.

A. 5.9% B. 14.5% C. 22.0% D. 26.8%

+1

Answers (1)

Know the Answer?

Jonathon Hurst · Answer 1

This event can be broken down into two sub-event.

1) The person selected is male

AND

2) The person feels that crime is the biggest problem

The probability of 1:

(118 + 239 + 458) / 1999

= 0.4077

The probability of 2:

118/815

= 0.1448

Probability of both occurring:

0.4077 * 0.1448

= 0.0590

= 5.9%

The answer is A