Quiz: Conditional Probability

🧠 Quiz: Conditional Probability

1. The formula for conditional probability is:

\(P(A|B) = \frac{P(A \cap B)}{P(B)}\) \(P(A|B) = \frac{P(A)}{P(B)}\) \(P(A|B) = P(A) + P(B)\) \(P(A|B) = P(A) - P(B)\)

2. A card is drawn from a deck. What is the probability that it is a king given that it is a face card?

\(\frac{1}{3}\) \(\frac{1}{4}\) \(\frac{1}{12}\) \(\frac{1}{52}\)

3. A die is rolled. What is the probability of getting a 6 given that the outcome is even?

\(\frac{1}{6}\) \(\frac{1}{3}\) \(\frac{1}{2}\) \(\frac{1}{4}\)

4. A bag contains 3 red and 2 blue balls. If one ball is drawn and found to be red, what is the probability that the next ball drawn is also red?

\(\frac{2}{4}\) \(\frac{2}{5}\) \(\frac{3}{5}\) \(\frac{1}{2}\)

5. If \(P(A) = 0.4\), \(P(B) = 0.5\), and \(P(A \cap B) = 0.2\), find \(P(A|B)\).

0.2 0.4 0.5 0.6