Multiplication Rule Probability

Name:

Date:

🎲 Part 1: Multiple Choice Questions

1. If you flip a coin and roll a 6-sided die, what is the probability of getting heads AND rolling a 3?

1/6

1/12

1/2

2/6

2. When two events are independent, the probability of both events occurring is found by:

Adding the probabilities

Multiplying the probabilities

Subtracting the probabilities

Dividing the probabilities

3. A bag contains 4 red marbles and 6 blue marbles. If you draw one marble and replace it, then draw another, what is the probability of drawing two red marbles?

4/25

8/20

16/100

4/10

4. Which of the following are examples of independent events? (Select all that apply)

Rolling two dice

Drawing two cards without replacement

Flipping two coins

Drawing two marbles without replacement

✏️ Part 2: Problem Solving

5. A spinner has 3 equal sections: red, blue, and green. If you spin it twice, what is the probability of getting red both times?

Show your working:

Answer: ________________

6. There are 8 chocolates in a box: 5 milk chocolate and 3 dark chocolate. If you select one chocolate and eat it, then select another, what is the probability of selecting two milk chocolates?

Show your working:

Answer: ________________

7. Complete the following statement about the multiplication rule:

For independent events A and B, P(A and B) = ________ × ________

For dependent events, the probability of the second event _________________ on the outcome of the first event.

🌟 Part 3: Real-World Applications

8. A weather forecast shows a 70% chance of rain on Saturday and a 60% chance of rain on Sunday. Assuming the weather on each day is independent, what is the probability it will rain on both days?

Answer: ________________

9. Explain the difference between independent and dependent events using your own examples:

Independent events:

Dependent events:

10. A class has 15 boys and 12 girls. If two students are chosen randomly without replacement to be class monitors, what is the probability that both will be girls? Show your reasoning.