Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 What is P(rolling a 2) on a fair six-sided die?
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1/6 — one face shows a 2, out of 6 faces.
2 What is P(heads) when you toss a fair coin? (as a fraction)
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1/2, which is also 0.5 or 50%.
3 A bag has 3 red, 2 blue and 1 yellow counter. What is P(yellow)?
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Total = 6, and 1 counter is yellow, so 1/6.
Level 2 · Core
4 What is P(rolling an even number) on a fair six-sided die? Simplify. (as a fraction)
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3/6 = 1/2.
5 A bag has 3 red, 2 blue and 1 yellow counter. What is P(blue)? Simplify.
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2/6 = 1/3.
6 One letter is picked from the word BANANA. What is P(the letter A)? Simplify. (as a fraction)
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There are 3 As out of 6 letters, so 3/6 = 1/2.
Level 3 · Challenge
7 A bag has 3 red, 2 blue and 1 yellow counter. What is P(not red)? Simplify. (as a fraction)
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2 blue + 1 yellow = 3, so 3/6 = 1/2.
8 A spinner has 8 equal sections: 4 red, 3 blue, 1 yellow. What is P(blue)? (as a fraction)
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3/8 — it will not simplify, because 3 and 8 share no common factor.
9 A bag has 3 red, 2 blue and 1 yellow counter. What is P(blue or yellow)? Simplify. (as a fraction)
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2 + 1 = 3 favourable out of 6, so 3/6 = 1/2.