2. Probability Theory

Conditional Probability — Quiz

Test your understanding of conditional probability with 5 practice questions.

Practice Questions

Question 1

What is the conditional probability of event A given event B if $P(A) = 0.4$, $P(B) = 0.5$, and $P(A \cap B) = 0.2$?

Question 2

In a survey, 80% of people like chocolate, and 50% like vanilla. If 30% like both, what is the probability that a person likes chocolate given they like vanilla?

Question 3

If $P(A) = 0.3$ and $P(B|A) = 0.7$, what is $P(A \cap B)$?

Question 4

A box contains 5 red and 3 blue balls. If one ball is drawn and it is red, what is the probability that the next ball drawn is also red?

Question 5

In a medical test, the probability of a true positive is 0.9 and the prevalence of the disease is 0.01. What is the probability of having the disease given a positive test result?