MathIQO worksheet
Determine the probability of two independent events · Grade 8 · D2.2
Name: ______________________
Date: ______________________
- 1
Spinner A has 2 equal sections numbered 1 to 2. Spinner B has 6 equal sections numbered 1 to 6. What is the probability of spinning a 1 on A and a 6 on B? Give your answer as a fraction.
Warm-upAnswer:
- 2
Spinner A has 3 equal sections numbered 1 to 3. Spinner B has 4 equal sections numbered 1 to 4. What is the probability of spinning a 3 on A and a 2 on B? Give your answer as a fraction.
Warm-upAnswer:
- 3
Spinner A has 4 equal sections numbered 1 to 4. Spinner B has 6 equal sections numbered 1 to 6. What is the probability of spinning a 3 on A and a 2 on B? Give your answer as a fraction.
Warm-upAnswer:
- 4
Spinner A has 7 equal sections, 3 of them red. Spinner B has 8 equal sections, 6 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 7 equal sections, 3 of them red. Spinner B has 7 equal sections, 3 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, 1 of them red. Spinner B has 6 equal sections, 4 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 7 marbles, 4 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 6 marbles, 4 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 4 marbles, 3 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: eyJzIjoiZGF0YS1wcm9iYWJpbGl0eS1pbmRlcGVuZGVudCIsImQiOlsxMzQzOTg5ODkyLDM0NzE5NzM4NSwxNTQxOTgwNDc3LDE4NjI1MzcyNzksMTU3NjkzOTcyOSw5Nzg0Njk2NDgsOTI5MjYzNTIxLDIwODg1NjU3MjksMTUxMzIxOTEwNV0sInYiOjF9.3e05bb4cdbe3
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Answer key · Determine the probability of two independent events
- 1.1/12 — Independent events multiply: 12 × 16 = 1/12.
- 2.1/12 — Independent events multiply: 13 × 14 = 1/12.
- 3.1/24 — Independent events multiply: 14 × 16 = 1/24.
- 4.9/28 — Independent events multiply: 37 × 68 = 9/28.
- 5.9/49 — Independent events multiply: 37 × 37 = 9/49.
- 6.1/6 — Independent events multiply: 14 × 46 = 1/6.
- 7.16/49 — Each draw is independent: 47 × 47 = 16/49.
- 8.4/9 — Each draw is independent: 46 × 46 = 4/9.
- 9.9/16 — Each draw is independent: 34 × 34 = 9/16.