Explanation

The multiplication rule finds the probability of both events occurring:

• Independent events: P(A ∩ B) = P(A) × P(B)

• Dependent events: P(A ∩ B) = P(A) × P(B|A)

Example (independent):

• Flip 2 coins, probability of 2 heads: 0.5 × 0.5 = 0.25

Quiz

1. What does the multiplication rule calculate?

2. Multiply probabilities for independent events: P(A) = 0.3, P(B) = 0.5.

3. What is a dependent event?

4. Write the formula for dependent events.

5. Are coin flips independent?

Answer Key

1. Probability of both events

2. 0.3 × 0.5 = 0.15

3. When one event affects another

4. P(A ∩ B) = P(A) × P(B|A)

5. Yes