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Compound Events Probability

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Compound Events Probability

Read each question carefully. Show your thinking where asked. For equally likely outcomes, probability can be written as favourable outcomes out of total outcomes.

Understanding Compound Events

1.Which description best explains a compound event?

A single result from one action
Two or more events considered together
An outcome that is certain to happen
An outcome that cannot happen

2.A six-sided die is rolled and a spinner with equal sections labelled red, yellow and blue is spun. Select every option that describes a compound event.

Roll a 2 and spin yellow
Roll an even number
Spin blue
Roll a 5 and spin red

3.Complete the statement: Two events are independent if the result of one event ______ the result of the other event.

always changes
does not affect
must repeat
makes impossible

Outcomes and Probability

4.A coin has two equally likely sides, heads (H) and tails (T). A spinner has three equal sections labelled A, B and C. Write every possible outcome when the coin is flipped and the spinner is spun. Use a pair such as H-A.

5.Using a fair coin and an equal-section spinner labelled A, B and C, what is the probability of getting heads and then landing on B? Give the number of favourable outcomes and the total number of outcomes.

6.Two fair six-sided dice are rolled. What is the probability that the first die shows 2 and the second die shows 6? Write your answer as a fraction.

7.A fair six-sided die is rolled and a fair coin is flipped. Complete the outcome table. Write each result as a number paired with H or T.

Die result

Heads (H)

Tails (T)

Explain and Extend

8.Ari says, “When I roll two fair dice, getting a 6 on both is likely because 6 is my favourite number.” Is Ari's claim supported by probability? Explain using the chance of getting two sixes.

9.A bag holds 2 red counters and 1 blue counter. A counter is drawn, replaced, and then another counter is drawn. List the possible colour pairs and find the probability of drawing red both times.