In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea a

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Question: 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?

Options:

Correct Answer: 0.4

Solution:

Using conditional probability, P(Coffee|Tea) = P(Coffee and Tea) / P(Tea) = 0.3 / 0.7 = 3/7.

In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea a

Practice Questions

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?

Questions & Step-by-Step Solutions

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?

Correct Answer: 3/7

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.
Step 6: Simplify the fraction. 0.3 / 0.7 = 3/7.

Conditional Probability – The probability of an event occurring given that another event has already occurred.
Joint Probability – The probability of two events occurring together.
Total Probability – Understanding the total probability of an event based on its components.

In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea a

What’s inside this PDF?

In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea a

Practice Questions

Questions & Step-by-Step Solutions

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