Compound Events Probability

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Date:

🎲 Part 1: Understanding Compound Events

1. What is a compound event? Circle the best answer.

One event happening

Two or more independent events happening together

An event that cannot happen

An event that always happens

2. You roll a red die and spin a blue spinner (with colours red, green, blue). Which of these are compound events? Check all that apply.

Rolling a 4 on the red die AND spinning blue

Just rolling the red die

Rolling a 2 on the red die AND spinning green

Just spinning the blue spinner

3. Complete this sentence about independent events:

Two events are independent when one event _____________ affect the outcome of the other event.

does

does not

sometimes does

always does

📊 Part 2: Listing Outcomes and Calculating Probability

4. You have a coin (Heads, Tails) and a spinner with 3 equal sections (A, B, C). List all possible outcomes when you flip the coin AND spin the spinner.

5. Using your list from question 4, what is the probability of getting Heads AND spinning A?

Probability = _____ out of _____ = _____

6. You roll two dice (each numbered 1-6). What is the probability of rolling a 3 on the first die AND a 5 on the second die?

Answer: _____________

7. Create a table to show all outcomes when rolling one die (1-6) and flipping one coin (H, T):

🌟 Part 3: Critical Thinking

8. Sarah says: "When I roll two dice, it's likely I'll get two sixes because six is a lucky number." Do you agree or disagree? Explain your reasoning using probability.

9. Extension Challenge: You have a bag with 2 red marbles and 1 blue marble. You pick one marble, put it back, then pick again. Draw a tree diagram to show all possible outcomes and calculate the probability of picking red both times.

Probability of red, then red = _____________