Grade 7 · Math

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

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Two-step chance: lists, tables and trees

Grade 7 Math Worksheet - Challenge Me

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

Tala flips a fair coin three times. What is the chance of at least one head, in simplest form?
Zee rolls two fair number cubes. What is the chance of at least one 6, in simplest form?
Ari spins two spinners, each with 4 equal parts numbered 1 to 4. What is the chance of at least one 4, in simplest form?
Bo flips a fair coin four times (a tired thumb is expected). What is the chance of at least one tail, in simplest form?
A bag holds 5 different buttons. Jun draws one, keeps it out, then draws a second. How many outcomes are in the list of the two draws, with order counting?
A bag holds 2 red buttons and 2 blue buttons. Luz draws one without looking, keeps it out, then draws a second. What is the chance both are red, in simplest form?
Ren rolls a fair number cube and then flips a fair coin twice. How many outcomes are in the list for all three steps?
Tala picks one of 5 shirts, one of 2 hats and one of 3 scarves. How many different outfits are possible?
Zee spins two spinners, each with 5 equal parts numbered 1 to 5. What is the chance that the sum is 6, as a percent?
Bo spins two spinners, each with 5 equal parts numbered 1 to 5. What is the chance that the sum is 9, as a percent?

7th grade Two-step chance: lists, tables and trees worksheet – printable — Print: 1 2 3 4 5 6

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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