1. Foundations of Probability
Compound Events — Quiz
Test your understanding of compound events with 5 practice questions.
Practice Questions
Question 1
From an urn containing 5 red, 4 blue, and 3 green marbles, three marbles are drawn without replacement. What is the probability that exactly one marble of each color is drawn?
Question 2
Two fair six-sided dice are rolled. What is the probability that the sum is 6 or both dice show even numbers?
Question 3
Three fair coins are flipped. Let A be the event exactly two heads occur and B be the event that the first flip is a head. What is $P(A\cup B)$?
Question 4
At a school, $60\%$ of students passed Math, $50\%$ passed English, and $40\%$ passed Science. Also, $35\%$ passed both Math and English, $25\%$ passed both Math and Science, $20\%$ passed both English and Science, and $15\%$ passed all three subjects. What percentage of students passed at least one subject?
Question 5
Two bags are provided: Bag I contains 3 red and 2 white marbles; Bag II contains 4 red and 1 white marble. A bag is chosen at random and then one marble is drawn. If the drawn marble is white, what is the probability it came from Bag I?