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 5) on a fair six-sided die?
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1/6.
2 What is P(heads) on a fair coin? (as a fraction)
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1/2.
3 What is P(rolling a 7) on an ordinary six-sided die?
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0 — impossible.
Level 2 · Core
4 What is P(even) on a fair six-sided die? Simplify. (as a fraction)
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3/6 = 1/2.
5 A bag has 5 red, 3 blue, 2 green. What is P(blue)? (as a fraction)
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3/10.
6 What is P(a red card) from a standard 52-card deck? Simplify.
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26/52 = 1/2.
Level 3 · Challenge
7 A bag has 5 red, 3 blue, 2 green. What is P(red or blue)? Simplify.
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8/10 = 4/5.
8 What is P(an ace) from a standard 52-card deck? Simplify.
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4/52 = 1/13.
9 A bag has 5 red, 3 blue, 2 green. What is P(not green)? Simplify.
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8/10 = 4/5.