MathIQO worksheet
Determine the probability of two independent events · Grade 8 · D2.2
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Date: ______________________
- 1
Spinner A has 6 equal sections numbered 1 to 6. Spinner B has 2 equal sections numbered 1 to 2. What is the probability of spinning a 5 on A and a 2 on B? Give your answer as a fraction.
Warm-upAnswer:
- 2
Spinner A has 2 equal sections numbered 1 to 2. Spinner B has 4 equal sections numbered 1 to 4. What is the probability of spinning a 1 on A and a 1 on B? Give your answer as a fraction.
Warm-upAnswer:
- 3
Spinner A has 4 equal sections numbered 1 to 4. Spinner B has 4 equal sections numbered 1 to 4. What is the probability of spinning a 2 on A and a 2 on B? Give your answer as a fraction.
Warm-upAnswer:
- 4
Spinner A has 4 equal sections, 3 of them red. Spinner B has 8 equal sections, 5 of them blue. What is the probability of red on A and blue on B? Give your answer as a fraction.
On levelAnswer:
- 5
Spinner A has 5 equal sections, 1 of them red. Spinner B has 6 equal sections, 5 of them blue. What is the probability of red on A and blue on B? Give your answer as a fraction.
On levelAnswer:
- 6
Spinner A has 4 equal sections, 2 of them red. Spinner B has 5 equal sections, 1 of them blue. What is the probability of red on A and blue on B? Give your answer as a fraction.
On levelAnswer:
- 7
A bag has 4 marbles, 1 of them red. You draw one, put it back, then draw again. What is the probability that both draws are red? Give your answer as a fraction.
ChallengeAnswer:
- 8
A bag has 3 marbles, 2 of them red. You draw one, put it back, then draw again. What is the probability that both draws are red? Give your answer as a fraction.
ChallengeAnswer:
- 9
A bag has 3 marbles, 2 of them red. You draw one, put it back, then draw again. What is the probability that both draws are red? Give your answer as a fraction.
ChallengeAnswer:
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Worksheet code: eyJzIjoiZGF0YS1wcm9iYWJpbGl0eS1pbmRlcGVuZGVudCIsImQiOlszNDA0MTQ3NTEsMjA4MTQ3ODgxOCwyMDY2OTgxNDEzLDIxMzY4NDQyNzEsMTkxOTM0MDAxMSwxMzY1NTc1MzUyLDI4MzI2NTYzOSw4ODA1NTY1MjMsODgxNzU4MjM5XSwidiI6MX0.0c8ab11187ac
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Answer key · Determine the probability of two independent events
- 1.1/12 — Independent events multiply: 16 × 12 = 1/12.
- 2.1/8 — Independent events multiply: 12 × 14 = 1/8.
- 3.1/16 — Independent events multiply: 14 × 14 = 1/16.
- 4.15/32 — Independent events multiply: 34 × 58 = 15/32.
- 5.1/6 — Independent events multiply: 15 × 56 = 1/6.
- 6.1/10 — Independent events multiply: 24 × 15 = 1/10.
- 7.1/16 — Each draw is independent: 14 × 14 = 1/16.
- 8.4/9 — Each draw is independent: 23 × 23 = 4/9.
- 9.4/9 — Each draw is independent: 23 × 23 = 4/9.