1. Foundations of Probability

Set Operations — Quiz

Test your understanding of set operations with 5 practice questions.

Practice Questions

Question 1

If $P(A) = 0.6$, $P(B) = 0.4$, and $P(A \cap B) = 0.25$, what is $P(A \cap B^c)$?

Question 2

In a class of 100 students, 55 are in set A, 45 are in set B, and 20 students are in both sets A and B. How many students are only in set A?

Question 3

If $P(A) = 0.7$, $P(B) = 0.5$, and $P(A \cap B) = 0.3$, what is $P(A^c \cap B)$?

Question 4

In a group of 120 people, 80 people are in set A, 60 people are in set B, and 40 people are in both sets A and B. How many people are in $A^c \cap B^c$?

Question 5

If $P(A) = 0.65$, $P(B) = 0.55$, and $P(A \cap B) = 0.35$, what is $P(A^c \cup B)$?