🎯 Part 1: Understanding Compound Events

1. Circle the correct definition of a compound event:

A single event with one outcome

Two or more simple events combined together

An event that cannot happen

An event with equal probability

2. Which of the following are compound events? Check all that apply:

Rolling a 6 on a dice

Drawing a red card AND then a face card

Rolling two dice and both showing even numbers

Flipping a coin once

Drawing a heart OR a spade from a deck

🎲 Part 2: Independent vs Dependent Events

3. Fill in the blanks about independent and dependent events:

When events are independent, the outcome of the first event _____________ affect the probability of the second event. When events are dependent, the outcome of the first event _____________ affect the probability of the second event.

4. Classify each scenario. Circle I for Independent or D for Dependent:

I or D : Rolling two dice, one after the other

I or D : Drawing two cards from a deck without replacement

I or D : Flipping a coin twice

I or D : Drawing a card, replacing it, then drawing another

I or D : Choosing two students from your class for a project

🃏 Part 3: Multiplication Rule Practice

5. Calculate the probability of rolling two dice and both showing even numbers:

P(first dice shows even) = _______

P(second dice shows even) = _______

P(both dice show even) = _______ × _______ = _______

6. A standard deck has 52 cards. Calculate the probability of drawing a red card, then drawing a face card WITHOUT replacement:

P(red card) = _______

P(face card after red card drawn) = _______

P(red card AND face card) = _______ × _______ = _______

➕ Part 4: Addition Rule Practice

7. Calculate the probability of drawing either a heart OR a spade from a standard deck:

P(heart) = _______

P(spade) = _______

P(heart OR spade) = _______ + _______ = _______

8. When do we use the addition rule vs the multiplication rule? Match each rule to its correct use:

1. Addition Rule

2. Multiplication Rule

A. Finding P(A AND B) for independent events

B. Finding P(A OR B) for mutually exclusive events

🔍 Part 5: Real-World Applications

9. A bag contains 3 red marbles and 2 blue marbles. You draw one marble, don't replace it, then draw another. What is the probability both marbles are red?

10. Explain in your own words why drawing cards without replacement creates dependent events: