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In a group of 50 people, 20 are smokers and 30 are non-smokers. If a person is s

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Question: 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?

Options:

  1. 1
  2. 0
  3. 1/2
  4. 1/3

Correct Answer: 1

Solution: 

If the person is not a smoker, they must be a non-smoker. Therefore, the probability is 1.

In a group of 50 people, 20 are smokers and 30 are non-smokers. If a person is s

Practice Questions

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. 1
  2. 0
  3. 1/2
  4. 1/3

Questions & Step-by-Step Solutions

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?
  • 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.
  • Conditional Probability – The probability of an event occurring given that another event has already occurred.
  • Understanding of Terminology – Differentiating between smokers and non-smokers in the context of the problem.
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