MathIQO worksheet
Determine the probability of two independent events · Grade 8 · D2.2
Name: ______________________
Date: ______________________
- 1
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 1 on B? Give your answer as a fraction.
Warm-upAnswer:
- 2
Spinner A has 5 equal sections numbered 1 to 5. Spinner B has 5 equal sections numbered 1 to 5. What is the probability of spinning a 4 on A and a 5 on B? Give your answer as a fraction.
Warm-upAnswer:
- 3
Spinner A has 3 equal sections numbered 1 to 3. Spinner B has 3 equal sections numbered 1 to 3. What is the probability of spinning a 2 on A and a 3 on B? Give your answer as a fraction.
Warm-upAnswer:
- 4
Spinner A has 5 equal sections, 4 of them red. Spinner B has 7 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:
- 5
Spinner A has 7 equal sections, 3 of them red. Spinner B has 7 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:
- 6
Spinner A has 5 equal sections, 2 of them red. Spinner B has 8 equal sections, 7 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, 6 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, 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:
- 9
A bag has 8 marbles, 7 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: eyJzIjoiZGF0YS1wcm9iYWJpbGl0eS1pbmRlcGVuZGVudCIsImQiOlszNDI0NjU4OTQsNTQzMTE0NDAxLDIwOTI0ODYyNCw4ODUyNDkzMjksMTk5OTU5ODIzOCwxNTIxMDgzNjk3LDkyMjg3NjQ2OCwxOTg5NTg5MzAxLDExNzQ3MjcxODJdLCJ2IjoxfQ.78c927bf2678
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Answer key · Determine the probability of two independent events
- 1.1/16 — Independent events multiply: 14 × 14 = 1/16.
- 2.1/25 — Independent events multiply: 15 × 15 = 1/25.
- 3.1/9 — Independent events multiply: 13 × 13 = 1/9.
- 4.4/35 — Independent events multiply: 45 × 17 = 4/35.
- 5.12/49 — Independent events multiply: 37 × 47 = 12/49.
- 6.7/20 — Independent events multiply: 25 × 78 = 7/20.
- 7.36/49 — Each draw is independent: 67 × 67 = 36/49.
- 8.1/9 — Each draw is independent: 13 × 13 = 1/9.
- 9.49/64 — Each draw is independent: 78 × 78 = 49/64.