In a survey, 60% of people like tea, 30% like coffee, and 10% like both. What is
Practice Questions
Q1
In a survey, 60% of people like tea, 30% like coffee, and 10% like both. What is the probability that a person likes coffee given that they like tea?
0.5
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Questions & Step-by-Step Solutions
In a survey, 60% of people like tea, 30% like coffee, and 10% like both. What is the probability that a person likes coffee given that they like tea?
Step 1: Understand the question. We want to find the probability that a person likes coffee given that they already like tea.
Step 2: Identify the relevant probabilities from the survey. We know that 60% of people like tea (P(Tea) = 0.6) and 10% like both tea and coffee (P(Coffee and Tea) = 0.1).
Step 3: Use the formula for conditional probability. The formula is P(Coffee|Tea) = P(Coffee and Tea) / P(Tea).
Step 4: Plug in the values we have. We substitute P(Coffee and Tea) with 0.1 and P(Tea) with 0.6 into the formula.
Step 5: Calculate the probability. So, P(Coffee|Tea) = 0.1 / 0.6.
Step 6: Perform the division. 0.1 divided by 0.6 equals approximately 0.1667.
Step 7: Round the answer if necessary. We can say the probability is about 0.166.
