In a survey, 70% of people like tea and 30% like coffee. If a person is chosen at random, what is the probability that they like tea given that they do not like coffee?
Practice Questions
1 question
Q1
In a survey, 70% of people like tea and 30% like coffee. If a person is chosen at random, what is the probability that they like tea given that they do not like coffee?
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If a person does not like coffee, they must like tea. Therefore, P(Tea | Not Coffee) = 1.
Questions & Step-by-step Solutions
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Q
Q: In a survey, 70% of people like tea and 30% like coffee. If a person is chosen at random, what is the probability that they like tea given that they do not like coffee?
Solution: If a person does not like coffee, they must like tea. Therefore, P(Tea | Not Coffee) = 1.
Steps: 3
Step 1: Understand the survey results. 70% of people like tea and 30% like coffee.
Step 2: Recognize that if a person does not like coffee, they must like tea because those are the only two options given.
Step 3: Since all people who do not like coffee must like tea, the probability that a person likes tea given that they do not like coffee is 1.
