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.
Level 1 · Warm-up
1 Write the sample space for tossing one coin.
Show worked solution
{heads, tails} — two outcomes.
2 How many outcomes are in the sample space for rolling an ordinary six-sided die? (a number)
Show worked solution
6, one for each face.
3 A spinner has 5 equal sections numbered 1 to 5. How many outcomes are in the sample space? (a number)
Show worked solution
5.
Level 2 · Core
4 One letter is picked at random from the word MATHS. How many outcomes are there? (a number)
Show worked solution
MATHS has 5 letters, so 5 outcomes.
5 One letter is picked at random from the word BANANA. How many outcomes are there? (a number)
Show worked solution
BANANA has 6 letters, so 6 outcomes — not 3.
6 Two coins are tossed. List the sample space.
Show worked solution
{HH, HT, TH, TT} — 4 outcomes.
Level 3 · Challenge
7 A coin is tossed and a six-sided die is rolled. How many outcomes are in the sample space? (a number)
Show worked solution
2 × 6 = 12 outcomes.
8 Two spinners each have 3 equal sections. How many outcomes are in the sample space when you spin both? (a number)
Show worked solution
3 × 3 = 9 outcomes.
9 A spinner has 4 sections, but one of them covers half the circle. Are the 4 outcomes equally likely? Answer yes or no.
Show worked solution
No. One section covers half, so it is far more likely than the others.