4. Statistics and Probability

Conditional Probability — Quiz

Test your understanding of conditional probability with 5 practice questions.

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Practice Questions

Question 1

If $P(A)=0.6$, $P(B)=0.5$, and $P(A\cap B)=0.3$, what is $P(A\mid B)$?

Question 2

Which statement best describes $P(A\mid B)$?

Question 3

A bag contains $3$ red and $2$ blue balls. One ball is chosen at random. What is $P(\text{red}\mid \text{not blue})$?

Question 4

A fair die is rolled. Let $A$ be the event that an even number is rolled, and let $B$ be the event that a number greater than $3$ is rolled. What is $P(A\mid B)$?

Question 5

If $P(A)=0.4$ and $P(B\mid A)=0.7$, what is $P(A\cap B)$?