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Grade 7 · Math

7th grade Two-step chance: lists, tables and trees worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Two-step chance: lists, tables and trees

Grade 7 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

  1. Ren's first spinner has 3 equal parts and the second has 2 equal parts. How many outcomes are in the list for both spinners?

  2. Tala flips a fair coin and rolls a fair number cube (a busy afternoon). How many outcomes are in the list for both?

  3. Zee picks one of 4 shirts and one of 5 hats for picture day, and every pair is allowed. How many different outfits are possible?

  4. Ari flips a fair coin and spins a spinner with 5 equal parts. How many outcomes are in the list for both?

  5. A1, A2 ✓, A3, A4 ✓, B1, B2, B3, B4, C1, C2, C3, C4. Esme spins two spinners with equal parts: A, B, C and 1 to 4. The checked cells show A with an even number. What is the chance of that, in simplest form?

  6. Noah flips a fair coin three times. The checked branches show exactly one head. What is the chance of that, in simplest form?

  7. Ren flips a fair coin twice. Which is the whole list of outcomes for the two flips?

    • HH, HT, TT
    • H, T
    • HH, HT, TH, TT
    • HH, TT

  8. Tala spins two spinners, each with 2 equal parts: red (R) and blue (B). Which is the whole list of outcomes for both spinners?

    • RR, RB, BB
    • RR, BB
    • R, B
    • RR, RB, BR, BB

  9. Zee flips a fair coin and spins a spinner with 3 equal parts: red, blue, green. Which is the whole list of outcomes for both?

    • H, T, red, blue, green
    • H-red, H-blue, H-green, T-red, T-blue, T-green
    • H-red, H-blue, H-green
    • H-red, H-blue, H-green, T-red, T-blue, T-green, T-yellow

  10. Ari spins a spinner with 3 equal parts (A, B, C), then one with 2 equal parts (1, 2). Which is the whole list of outcomes for both?

    • A, B, C, 1, 2
    • A1, A2, B1, B2, C1, C2
    • A1, B2, C1
    • A1, A2, B1, B2, C1, C2, D1
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7th grade Two-step chance: lists, tables and trees worksheet – printable
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About this worksheet

Two-step chance: lists, tables and trees. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can list every outcome of two steps (a coin then a spinner, two spinners, two number cubes) as a list, a table or a tree.
  • I can find the chance of a two-step event as the cells that count ÷ all the cells, even when it is described in words like "at least one head".
  • I can see that a sum or two orders (HT and TH) are not equally likely outcomes, and that taking an item out changes the second step.

Standard: 7.SP.C.8a, 7.SP.C.8b

Words to know

compound event: An event made of two or more steps, like a coin flip and then a spin.

sample space: The list of every possible outcome of all the steps. A table or tree shows it.

table (outcome table): Rows for the first step, columns for the second. Each cell is one outcome.

tree diagram: Branches for the first step, each splitting into the second step. Each leaf is one outcome.

at least one: One or more. It includes having two or three.

without putting back: The first item stays out, so the second step has one fewer choice.

Common mistakes

Your child added the numbers of outcomes of the steps instead of multiplying them.

Your child counted the outcomes of one step only.

Your child compared the outcomes that count with the ones that don't instead of with all of them.

What to say

Ask: how many pairs does each first outcome make?

Ask: what does the list need for both steps together?

Ask: out of how many outcomes in all?

Questions parents ask

What is the most common mistake with two-step chance: lists, tables and trees?

Your child added the numbers of outcomes of the steps instead of multiplying them.

How can I help my child with two-step chance: lists, tables and trees?

Ask: how many pairs does each first outcome make?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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