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 How many outcomes when you toss two coins?
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4 — HH, HT, TH, TT.
2 How many outcomes when you roll two dice?
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36.
3 What is P(two heads) when tossing two coins? (as a fraction)
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1/4.
Level 2 · Core
4 Two dice are rolled. What is P(sum of 7)? Simplify.
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6/36 = 1/6.
5 Two dice are rolled. What is P(sum of 2)?
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1/36.
6 How many outcomes if you toss a coin then roll a die?
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12.
Level 3 · Challenge
7 A bag of 5 marbles: two drawn WITHOUT replacement. How many outcomes?
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5 × 4 = 20.
8 A bag of 5 marbles: two drawn WITH replacement. How many outcomes?
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5 × 5 = 25.
9 Two dice are rolled. How many of the 36 cells give a sum of 8?
Show worked solution
5 cells, so P(sum of 8) = 5/36.