My Learning Cart
?
Categories
Account

In a survey, 60% of people like tea, 30% like coffee, and 10% like both. What is

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: 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?

Options:

  1. 0.5
  2. 0.3
  3. 0.2
  4. 0.1

Correct Answer: 0.5

Solution: 

P(Coffee|Tea) = P(Coffee and Tea) / P(Tea) = 0.1 / 0.6 = 0.166.

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?
  1. 0.5
  2. 0.3
  3. 0.2
  4. 0.1

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.
  • 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 how to calculate probabilities based on given percentages.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks