MathIQO — Adaptive math practice for Ontario kids

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

✅ Done? See how you did — check in at mathiqo.com/check-in

Worksheet code: eyJzIjoiZGF0YS1wcm9iYWJpbGl0eS1pbmRlcGVuZGVudCIsImQiOls5MDc0MzMwOCwzNDE5Nzc1OTgsMTIxNDg2NjA5OCw0Mjk5ODU5MzEsMTE4MzA3MDc2Niw1NjM0ODY0NjEsMTY5Mzc2MDI2MywxMTAxMjQ3MjQwLDIxMDIzNzY4NzldLCJ2IjoxfQ.1fcf6c19bd83

A quick 5-question check-in grades itself instantly and shows what to practise next.

Answer key · Determine the probability of two independent events

1.
1/8 — Independent events multiply: 12 × 14 = 1/8.
2.
1/30 — Independent events multiply: 15 × 16 = 1/30.
3.
1/15 — Independent events multiply: 15 × 13 = 1/15.
4.
1/4 — Independent events multiply: 48 × 48 = 1/4.
5.
1/24 — Independent events multiply: 14 × 16 = 1/24.
6.
1/20 — Independent events multiply: 18 × 25 = 1/20.
7.
1/4 — Each draw is independent: 24 × 24 = 1/4.
8.
1/16 — Each draw is independent: 14 × 14 = 1/16.
9.
1/36 — Each draw is independent: 16 × 16 = 1/36.