4. Statistics

Probability Basics — Quiz

Test your understanding of probability basics with 5 practice questions.

Practice Questions

Question 1

Which formula defines the conditional probability $P(A\mid B)$?

Question 2

Given a probability tree with $P(A)=0.3$, $P(B\mid A)=0.5$ and $P(B\mid A^c)=0.2$, what is $P(B)$?

Question 3

Given $P(A)=0.4$, $P(B)=0.5$, $P(C)=0.6$, $P(A\cap B)=0.2$, $P(A\cap C)=0.15$, $P(B\cap C)=0.3$ and $P(A\cap B\cap C)=0.05$, find $P(A\cup B\cup C)$.

Question 4

In a probability tree with $P(A)=0.3$, $P(B\mid A)=0.4$ and $P(C\mid A\cap B)=0.6$, what is $P(A\cap B\cap C)$?

Question 5

Given $P(A)=0.3$, $P(B\mid A)=0.5$, $P(B\mid A^c)=0.4$, $P(C\mid A\cap B)=0.7$ and $P(C\mid A^c\cap B)=0.2$, what is $P(A\mid B\cap C)$?