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8th grade All the outcomes of a repeated experiment, and the chance of a compound event worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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All the outcomes of a repeated experiment, and the chance of a compound event

Grade 8 Math Worksheet - Building Confidence

NameDate

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

  1. Read this first

    A tree

    2 branches (H, T) for the first flip, each splitting into 2 for the second flip, each splitting into 2 again for the third.

  2. Ari flips a fair coin 3 times. The tree splits in 2 at every flip. How many outcomes are in the whole list?

  3. Bo spins a spinner with 3 equal parts (red, blue, yellow) 2 times. How many outcomes are in the whole list?

  4. Esme rolls a fair number cube 2 times. How many outcomes are in the whole list?

  5. Kira's bag has 1 green (G) and 1 yellow (Y) marble. Kira draws one without looking. It is put back, and Kira draws again. Which is the whole outcome list?

    • GG, GY, YG, YY
    • G, Y
    • GY, YG
  6. Luz spins a spinner with 3 equal parts, A, B and C, 2 times. Which is the whole outcome list?

    • AA, AB, AC, BB, BC, CC
    • AA, AB, AC, BA, BB, BC, CA, CB, CC
    • AB, AC, BC
    • A, B, C
  7. Milo spins a spinner with 4 equal parts (red, blue, yellow, green) 2 times. What is the chance both spins land on blue, as a fraction in simplest form?

  8. Noah flips a fair coin 3 times. What is the chance of tails all 3 times, as a fraction in simplest form?

  9. Pia rolls a fair number cube 2 times. What is the chance of a 6 both times, as a fraction in simplest form?

  10. Tala flips a fair coin twice, and does this 200 times. The chance of two heads is 1/4. About how many times are both flips heads?

  11. Zee rolls a fair number cube twice, and does this 120 times. The chance both rolls are even is 1/4. About how many times are both even?

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8th grade All the outcomes of a repeated experiment, and the chance of a compound event worksheet – printable
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About this worksheet

All the outcomes of a repeated experiment, and the chance of a compound event. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can count every outcome of an experiment repeated two to five times by multiplying.
  • I can find the chance of an event across the repeats as a fraction, decimal or percent.
  • I can find "at least one" as 1 minus none, and predict about how many times an event happens.

Builds on the grade 7 standard 7.SP.C.8a–b

Words to know

repeated experiment: The same flip, spin, roll or draw done again and again.

outcome list: Every possible result in order, one row each.

compound event: An event that needs more than one step, like two heads.

at least one: One or more; everything except none.

put back: The thing drawn goes back in, so the bag is the same again.

Common mistakes

Your child added the choices for each step instead of multiplying. Each outcome of one step splits into all the outcomes of the next.

Your child counted only one step of the repeated experiment. List every step: two flips of a coin have 4 outcomes, not 2.

Your child added the chances of the steps. Adding gives either-or; for both to happen, use the whole outcome list (the chance gets smaller).

Questions parents ask

What is the most common mistake with all the outcomes of a repeated experiment, and the chance of a compound event?

Your child added the choices for each step instead of multiplying. Each outcome of one step splits into all the outcomes of the next.

Are these 8th 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 8 math

See all grade 8 math

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