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Compound Probability Practice
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Compound Probability Practice
📚 Part 1: Multiple Choice
1. A fair coin is flipped, then a fair six-sided die is rolled. What is the probability of getting Heads then a 4?
1/6
1/12
1/8
1/3
2. Two fair six-sided dice are rolled. What is the probability both show even numbers?
1/3
1/4
1/6
1/9
3. One card is drawn from a standard 52-card deck, then a second card is drawn without replacement. What is the probability both cards are aces?
1/221
1/169
1/2210
1/1326
4. A spinner with three equal sectors (Red, Blue, Green) is spun twice with replacement. What is the probability of landing on Green at least once?
4/9
5/9
1/3
2/3
✏️ Part 2: Short Answers & Working
5. List the sample space for rolling a four-sided die (1,2,3,4) then flipping a coin (H,T). Write all ordered outcomes.
6. In one sentence, explain the difference between independent and dependent events. Give one short example of each (two parts).
7. A bag has 3 red and 2 blue counters. Two counters are drawn without replacement. Show your working and give the probability both are blue.
8. Exit task: Your group ran 80 trials for a compound event. Experimental probability = 0.18 but theoretical probability = 0.25. Suggest two possible reasons for this difference (briefly).
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