MathIQO — Adaptive math practice for Ontario kids

MathIQO worksheet

Determine the theoretical probability of a simple event · Grade 6 · D2.2

Name: ______________________

Date: ______________________

1
A bag has 1 purple and 2 blue marbles. You pick one without looking. What is P(purple)?
Warm-up
Answer:
2
A bag has 3 red and 5 green marbles. You pick one without looking. What is P(red)?
Warm-up
Answer:
3
A bag has 1 purple and 3 blue marbles. You pick one without looking. What is P(purple)?
Warm-up
Answer:
4
A spinner has 8 equal sections: 1 purple, 3 red, and 4 blue. What is P(red)?
On level
Answer:
5
A spinner has 8 equal sections: 3 red, 1 green, and 4 purple. What is P(green)?
On level
Answer:
6
A spinner has 10 equal sections: 4 red, 2 purple, and 4 green. What is P(purple)?
On level
Answer:
7
You roll a fair 6-sided number cube. What is the probability of rolling a number less than 3?
Challenge
Answer:
8
You roll a fair 6-sided number cube. What is the probability of rolling an even number?
Challenge
Answer:
9
You roll a fair 6-sided number cube. What is the probability of rolling a number less than 3?
Challenge
Answer:

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

Worksheet code: eyJzIjoiZGF0YS1wcm9iYWJpbGl0eS1zaW1wbGUiLCJkIjpbMTg1NzM5OTU1NCwxNjk5Mjg1OTY1LDE5NTEwNTIwMzAsODE5Mzg3MzEsODk3NjE1NzUzLDg0NzI1NjgzOSwxODgwMDIwOTczLDEyNDYyMzg3MzYsOTIzNTE2Njk4XSwidiI6MX0.23b7fa984481

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

Answer key · Determine the theoretical probability of a simple event

1.
1/3 — There are 1 purple out of 3 marbles, so P(purple) = 1/3.
2.
3/8 — There are 3 red out of 8 marbles, so P(red) = 3/8.
3.
1/4 — There are 1 purple out of 4 marbles, so P(purple) = 1/4.
4.
3/8 — 3 of the 8 equal sections are red, so P(red) = 3/8.
5.
1/8 — 1 of the 8 equal sections are green, so P(green) = 1/8.
6.
2/10 — 2 of the 10 equal sections are purple, so P(purple) = 2/10.
7.
2/6 — 2 of the 6 faces are a number less than 3 (1, 2), so the probability is 2/6.
8.
3/6 — 3 of the 6 faces are an even number (2, 4, 6), so the probability is 3/6.
9.
2/6 — 2 of the 6 faces are a number less than 3 (1, 2), so the probability is 2/6.