When choices go together, multiply the number of options for each one. A coin and a 6-sided die: 2 × 6 = 12 outcomes. Three coin flips: 2 × 2 × 2 = 8.
Worked example
A fair coin is flipped 3 times. How many outcomes are in the sample space?
Answer:8
Each flip has 2 outcomes, and the flips multiply: 2 × 2 × 2 = 8. Answer: 8.
For grown-ups: Uniform and non-uniform probability models. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.
CCSS 7.SP.C.7
What this practises, for teachers
Practices uniform and non-uniform probability models (7.SP.C.7). A printable sheet with its answer key, worked answers on the page, no accounts.
A fair 10-sided die is rolled. How many outcomes are in the sample space?
A fair coin is flipped and a fair six-sided die is rolled. How many outcomes are in the sample space?
A fair coin is flipped and a fair six-sided die is rolled. How many outcomes are in the sample space?
A fair coin is flipped and a fair six-sided die is rolled. How many outcomes are in the sample space?
A fair coin is flipped 3 times. How many outcomes are in the sample space?
A fair coin is flipped and a fair 10-sided die is rolled. How many outcomes are in the sample space?
A fair coin is flipped and a fair 8-sided die is rolled. How many outcomes are in the sample space?
A fair coin is flipped 4 times. How many outcomes are in the sample space?
A student has 2 shirts and 2 pairs of pants. An outfit is a shirt and a pair of pants. How many different outfits are possible?
A fair coin is flipped and a fair 10-sided die is rolled. How many outcomes are in the sample space?
A fair coin is flipped 4 times. How many outcomes are in the sample space?
A spinner has 7 equal sections and a fair six-sided die has 6 faces. The spinner is spun and the die is rolled. How many outcomes are in the sample space?