Question

The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.

Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

A) Table A, because the given condition is that the student is in high school.

B) Table A, because the given condition is that the student is taking a foreign language.

C) Table B, because the given condition is that the student is in high school.

D) Table B, because the given condition is that the student is taking a foreign language.

Answer 1

The correct answer is B.

Answer 2

option: B

Explanation:

We are asked to find out which table could be used to answer:

" What is the probability that the student is in high school given that he is taking a foreign language "

The answer is option: B

Since we are given a condition that the student is taking a foreign language and we need to find the probability that he is in high school.

• so P(High school)+P(Not in high school i.e. in Middle school)=1 ( where P denote the probability of an event)

Such a condition is satisfied in Table A but not in Table B.

Hence, Option B is correct( Table A, because the given condition is that the student is taking a foreign language)