In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea and coffee, what is the probability that a person likes coffee given that they like tea?
Practice Questions
1 question
Q1
In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea and coffee, what is the probability that a person likes coffee given that they like tea?
0.4
0.3
0.5
0.6
Using conditional probability, P(Coffee|Tea) = P(Coffee and Tea) / P(Tea) = 0.3 / 0.7 = 3/7.
Questions & Step-by-step Solutions
1 item
Q
Q: In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea and coffee, what is the probability that a person likes coffee given that they like tea?
Solution: Using conditional probability, P(Coffee|Tea) = P(Coffee and Tea) / P(Tea) = 0.3 / 0.7 = 3/7.
Steps: 6
Step 1: Understand the problem. We need to find the probability that a person likes coffee given that they like tea.
Step 2: Identify the information given in the problem. We know that 70% of people like tea (P(Tea) = 0.7), 40% like coffee (P(Coffee) = 0.4), and 30% like both tea and coffee (P(Coffee and Tea) = 0.3).
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 know P(Coffee and Tea) = 0.3 and P(Tea) = 0.7.
Step 5: Calculate the probability. So, P(Coffee|Tea) = 0.3 / 0.7.
