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In a survey, 60% of people like tea, and 40% like coffee. If a person is chosen

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Question: In a survey, 60% of people like tea, and 40% like coffee. If a person is chosen at random, what is the probability that they like coffee given that they do not like tea?

Options:

  1. 0.4
  2. 0.6
  3. 0.5
  4. 1

Correct Answer: 0.4

Solution: 

If a person does not like tea, they must like coffee. Therefore, the probability is 1.

In a survey, 60% of people like tea, and 40% like coffee. If a person is chosen

Practice Questions

Q1
In a survey, 60% of people like tea, and 40% like coffee. If a person is chosen at random, what is the probability that they like coffee given that they do not like tea?
  1. 0.4
  2. 0.6
  3. 0.5
  4. 1

Questions & Step-by-Step Solutions

In a survey, 60% of people like tea, and 40% like coffee. If a person is chosen at random, what is the probability that they like coffee given that they do not like tea?
  • Step 1: Understand the survey results. 60% of people like tea and 40% like coffee.
  • Step 2: Recognize that if a person does not like tea, they must fall into the category of people who like coffee.
  • Step 3: Since the only options are liking tea or coffee, if someone does not like tea, they must like coffee.
  • Step 4: Therefore, the probability that a person likes coffee given that they do not like tea is 1 (or 100%).
  • Conditional Probability – The probability of an event occurring given that another event has already occurred.
  • Complementary Events – Understanding that if a person does not like tea, they may still like coffee or neither.
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