1. Foundations of Probability

Complement Rule — Quiz

Test your understanding of complement rule with 5 practice questions.

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Practice Questions

Question 1

What is the probability that a committee of 4 chosen at random from 10 men and 8 women contains at least one woman?

Question 2

In 5 independent flips of a fair coin, what is the probability of getting at least two Heads?

Question 3

Three independent events A, B, and C have probabilities $P(A)=0.3$, $P(B)=0.4$, and $P(C)=0.5$. What is the probability that none of these events occur?

Question 4

Given two events A and B with $P(A)=0.6$, $P(B)=0.7$, and $P(A\cap B)=0.5$, what is the probability that neither A nor B occurs?

Question 5

A 4-digit PIN is generated by choosing each digit independently from 0 to 9. What is the probability that the PIN contains at least one even digit?