4. Probability, Random Variables, and Probability Distributions
Conditional Probability And Independence — Quiz
Test your understanding of conditional probability and independence with 5 practice questions.
Practice Questions
Question 1
What does $P(A\mid B)$ mean?
Question 2
If $P(A\mid B)=P(A)$, what does this tell you about events $A$ and $B$?
Question 3
Two cards are drawn from a standard deck without replacement. What is the probability that the second card is an ace given that the first card is an ace?
Question 4
Which statement is true for independent events $A$ and $B$?
Question 5
A bag contains $5$ red balls and $3$ blue balls. One ball is drawn, not replaced, and then a second ball is drawn. What is $P(\text{second is blue} \mid \text{first is red})$?