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Determine the probability of two independent events · Grade 8 · D2.2

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Date: ______________________

1
Spinner A has 3 equal sections numbered 1 to 3. Spinner B has 2 equal sections numbered 1 to 2. What is the probability of spinning a 2 on A and a 2 on B? Give your answer as a fraction.
Warm-up
Answer:
2
Spinner A has 3 equal sections numbered 1 to 3. Spinner B has 6 equal sections numbered 1 to 6. What is the probability of spinning a 1 on A and a 5 on B? Give your answer as a fraction.
Warm-up
Answer:
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 3 on A and a 3 on B? Give your answer as a fraction.
Warm-up
Answer:
4
Spinner A has 7 equal sections, 5 of them red. Spinner B has 3 equal sections, 2 of them blue. What is the probability of red on A and blue on B? Give your answer as a fraction.
On level
Answer:
5
Spinner A has 7 equal sections, 4 of them red. Spinner B has 4 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 level
Answer:
6
Spinner A has 4 equal sections, 2 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 level
Answer:
7
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.
Challenge
Answer:
8
A bag has 5 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.
Challenge
Answer:
9
A bag has 5 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.
Challenge
Answer:

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Worksheet code: eyJzIjoiZGF0YS1wcm9iYWJpbGl0eS1pbmRlcGVuZGVudCIsImQiOls4NjA1NDgwMDUsODQ4OTg4MDk5LDE5MjYwMzA4MjEsMjA0MTY1MzM2MiwxMDAwMDg4NDE3LDYxMDQzMDQxMiwxMjU4NjkwMjE3LDEyNzkwOTQ1OTgsMTE2NDkyNTgyOF0sInYiOjF9.0845ebd7f166

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Answer key · Determine the probability of two independent events

1.
1/6 — Independent events multiply: 13 × 12 = 1/6.
2.
1/18 — Independent events multiply: 13 × 16 = 1/18.
3.
1/9 — Independent events multiply: 13 × 13 = 1/9.
4.
10/21 — Independent events multiply: 57 × 23 = 10/21.
5.
1/7 — Independent events multiply: 47 × 14 = 1/7.
6.
3/14 — Independent events multiply: 24 × 37 = 3/14.
7.
1/9 — Each draw is independent: 13 × 13 = 1/9.
8.
4/25 — Each draw is independent: 25 × 25 = 4/25.
9.
4/25 — Each draw is independent: 25 × 25 = 4/25.