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Compound Probability Practice
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Compound Probability Practice
Solve each problem and show your reasoning where asked. Give probabilities as simplified fractions unless a question requests a decimal or percentage.
Part A: Chance combinations
1.At a school fair, a fair coin is flipped and then a fair six-sided die is rolled. What is the probability of getting tails and then a 5?
- 1/6
- 1/12
- 1/8
- 1/3
2.Two fair six-sided dice are rolled. What is the probability that both results are odd?
- 1/4
- 1/3
- 1/2
- 1/6
3.A spinner has three equal sections: red, blue and green. It is spun twice. What is the probability it lands on green at least once?
4.A standard 52-card deck is shuffled. Two cards are drawn one after the other without replacement. What is the probability that both cards are aces?
Part B: Map the outcomes
Die result
Coin result
1
H
1
T
2
H
2
T
3
H
3
T
4
H
4
T
5.Use the coin-and-die outcome grid. Write all the ordered outcomes in the sample space, using the format (die, coin).
6.Use the same grid. What is the probability of rolling a number greater than 2 and flipping heads?
Part C: Dependent events and experiments
7.A bag contains 3 red counters and 2 blue counters. Two counters are drawn without replacement. Find the probability that both are blue. Show the probability for each draw.
8.A tray holds 5 chocolate biscuits and 3 oat biscuits. Maia takes one biscuit, eats it, then takes another. What is the probability both are chocolate?
9.In one sentence, explain why drawing two counters without replacement gives dependent events. Include what changes after the first draw.
10.A class repeats a compound chance experiment 80 times. The event occurs 18 times, so its experimental probability is 18/80 = 0.225. Its theoretical probability is 0.25. State whether the experimental probability is higher or lower, and give one reasonable reason they differ.
3 printable pages
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