Practice Applications of Conditional Probability - 4.1.5 | 4. Conditional Probability | Mathematics - iii (Differential Calculus) - Vol 3
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4.1.5 - Applications of Conditional Probability

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the definition of conditional probability?

💡 Hint: Think about how one event's occurrence affects another.

Question 2

Easy

Write down the formula for conditional probability.

💡 Hint: Recall the relationship between the intersection of A and B.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does P(A|B) signify?

  • Probability of A given B
  • Probability of B given A
  • Both A and B occur

💡 Hint: Think about what condition is applied here.

Question 2

True or False: If P(A ∩ B) = 0, A and B are independent events.

  • True
  • False

💡 Hint: Define mutual exclusivity.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a quality control scenario, suppose 3% of products are defective. If a specific test indicates a product is defective 95% of the time when it is defective and 10% of the time when it is not defective, what is the probability a product is actually defective given a test reading of defective?

💡 Hint: Establish what proportions become pivotal in the context.

Question 2

A poll shows that 60% of voters favor candidate A. If it rains, the chance of voting increases to 80%. Calculate the conditional probability that a voter favors A given that it rains.

💡 Hint: Apply the formula accordingly with conditional inputs.

Challenge and get performance evaluation