4. Statistics and Probability
Bayes’ Theorem — Quiz
Test your understanding of bayes’ theorem with 5 practice questions.
Practice Questions
Question 1
What does Bayes’ Theorem help you find in a probability problem?
Question 2
Which formula correctly states Bayes’ Theorem for two events $A$ and $B$ with $P(B)\neq 0$?
Question 3
A bag contains $3$ red balls and $2$ blue balls. One ball is chosen at random. What is the probability that the ball is red given that it is not blue?
Question 4
A test is used for a disease. The probability that a person has the disease is $0.01$. If a person has the disease, the test is positive with probability $0.99$. If a person does not have the disease, the test is positive with probability $0.05$. What is the probability that a person actually has the disease given that the test is positive?
Question 5
Which of the following is the best description of the term 'prior probability' in Bayes’ Theorem?