Question

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 in the attachment:
What is the probability 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%

Answer 1

This one is just some simple division, an example in the lesson is this question exact but with different numerical values. It is 14.5%, which doesn't make much sense with the context.

The answer is B, 14.5%! Feel free to ask further questions about this topic!

Answer 2

Answer: B. 14.5%

Step-by-step explanation:

Let M be the event of choosing a person that is male and c be the event of choosing a male who is concerned about crime.

From the given table , The number of males concerned about crime = 118

The probability of choosing a person that is male =$P(C\capM)=\frac{118}{1999}$

The number of males surveyed = $118+239+458=815$

$P(M)=\frac{815}{1999}$

Now,  the probability that a person chosen at random from this survey is concerned about crime, given that they are male is given by:-

$P(C|M)=\frac{P(C\capM)}{P(M)}\\\\=\frac{\frac{118}{1999}}{\frac{815}{1999}}\\\\=\frac{118}{815}=0.145\\=0.145\times100\%=14.5%$