In a group of 50 people, 20 are smokers and 30 are non-smokers. If a person is selected at random, what is the probability that the person is a non-smoker given that they are not a smoker?
Practice Questions
1 question
Q1
In a group of 50 people, 20 are smokers and 30 are non-smokers. If a person is selected at random, what is the probability that the person is a non-smoker given that they are not a smoker?
1
0
1/2
1/3
If the person is not a smoker, they must be a non-smoker. Therefore, the probability is 1.
Questions & Step-by-step Solutions
1 item
Q
Q: In a group of 50 people, 20 are smokers and 30 are non-smokers. If a person is selected at random, what is the probability that the person is a non-smoker given that they are not a smoker?
Solution: If the person is not a smoker, they must be a non-smoker. Therefore, the probability is 1.
Steps: 5
Step 1: Understand the total number of people in the group, which is 50.
Step 2: Identify how many of these people are smokers, which is 20.
Step 3: Identify how many of these people are non-smokers, which is 30.
Step 4: Recognize that if a person is selected and they are not a smoker, they must be one of the non-smokers.
Step 5: Since all non-smokers are not smokers, the probability of selecting a non-smoker given that the person is not a smoker is 1.
