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8th grade Use a simulation to estimate a compound chance worksheet

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Level: Building Confidence · On Level · Challenge Me

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Use a simulation to estimate a compound chance

Grade 8 Math Worksheet

NameDate

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

  1. 20% of cereal boxes have a sticker and 50% have a coupon. Bo copies one box with 2 random digits: first sticker, then coupon. Which plan works?

    • First: 0 to 2 mean a sticker. Second: 0 to 5 mean a coupon, both ends counted.
    • Both digits: 0 and 1 mean yes
    • First: 0 and 1 mean a sticker. Second: 0 to 4 mean a coupon.

  2. A light is green 50% of the time, and a walk sign is on 30% of the time. Esme copies one trip with random digits. Which plan works?

    • First digit: 0 to 4 mean green. Second digit: 0 to 2 mean walk.
    • One digit: 0 to 4 mean green, and 0 to 2 mean walk
    • Both digits: 0 to 4 mean yes

  3. Read this first

    Use this

    0 to 7 is a make; 8 and 9 are misses. Two digits make one try. Tries: 29, 18, 32, 40, 71, 00, 25, 30, 46, 75, 86, 56, 41, 19, 08, 44, 17, 50, 20, 86.

  4. Jun makes 80% of free throws and copies 2 shots with random digits. From these 20 tries, what is the estimated chance both are makes, in simplest form?

  5. Use this

    0 to 3 is a sprout; 4 to 9 is not. Two digits make one try. Tries: 98, 14, 97, 44, 15, 72, 58, 03, 71, 88, 60, 50, 40, 75, 67, 23, 65, 44, 21, 45.

  6. Old seeds sprout 40% of the time. Kira copies planting 2 with random digits. From these 20 tries, what is the estimated chance exactly one sprouts, in simplest form?

  7. First digit

    0 to 4 mean green. Second digit: 0 to 2 mean walk. Tries: 19, 10, 28, 03, 17, 06, 73, 66, 05, 26, 03, 41, 17, 00, 38, 77, 69, 07, 94, 06.

  8. A light is green 50% of the time and a walk sign is on 30%. From Milo's 20 copied trips, what is the estimated chance of both, in simplest form?

  9. Use this

    0 to 7 is a make; 8 and 9 are misses. Two digits make one try. Tries: 66, 48, 82, 66, 78, 98, 09, 72, 93, 76, 50, 27, 49, 90, 57, 99, 20, 89, 68, 07, 43, 35, 63, 74, 33.

  10. Noah makes 80% of free throws and copies 2 shots with random digits. From these 25 tries, what is the estimated chance of at least one make, as a percent?

  11. Use this

    0 to 5 is a goal; 6 to 9 is a miss. Two digits make one try. Tries: 21, 24, 85, 42, 09, 42, 22, 15, 91, 38, 11, 74, 43, 88, 07, 00, 01, 62, 39, 78.

  12. Pia scores on 60% of penalty kicks and copies 2 kicks with random digits. From these 20 tries, what is the estimated chance both are goals, as a percent?

  13. First digit

    0 and 1 mean the bus is late. Second digit: 0 to 3 mean rain. Tries: 47, 36, 14, 22, 12, 92, 42, 29, 38, 18, 93, 97, 62, 12, 50, 14, 78, 53, 64, 42, 56, 41, 21, 44, 69.

  14. Ren's bus is late 20% of days, and it rains 40% of days. From these 25 copied days, what is the estimated chance of exactly one of the two, as a percent?

  15. Use this

    0 to 6 is a make; 7 to 9 is a miss. Two digits make one try. Tries: 90, 66, 71, 48, 80, 95, 09, 91, 23, 42, 77, 61, 40, 99, 26.

  16. Zee makes 70% of free throws and copies 2 shots 15 times. What is the estimated chance of exactly one make, to the nearest hundredth?

  17. Use this

    0 to 3 is gold; 4 to 9 is not. Two digits make one try. Tries: 04, 68, 86, 30, 88, 14, 03, 52, 36, 25, 17, 95, 46, 65, 84, 59, 18, 24.

  18. Ari's spinner has 10 equal parts, and 4 are gold. Ari copies 2 spins 18 times. What is the estimated chance of at least one gold, to the nearest hundredth?

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8th grade Use a simulation to estimate a compound chance worksheet – printable
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About this worksheet

Use a simulation to estimate a compound chance. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can design a simulation: one digit per step, each with a block of digits that fits its chance.
  • I can read the tries and estimate a compound chance as a fraction, a percent or a rounded decimal.
  • I can compare a simulation's estimate with the exact chance.

Builds on the grade 7 standard 7.SP.C.8c

Words to know

simulation: Copying a chance event with random digits instead of doing it for real.

try: One run of the simulation: one digit for each step.

block: The digits that stand for an outcome, like 0 to 6 for 70%.

estimate: Matching tries ÷ all tries; close to the chance, not exact.

percentage point: The difference between two percents: 55% and 49% are 6 points apart.

Common mistakes

Your child counted single digits instead of whole tries. A try is a group of digits, one for each step; mark a try only when the whole event happens.

Your child looked at only the first step of each try. The event needs every step, so read the whole try.

Your child counted the tries that miss the event. Count the tries where the event happens.

Questions parents ask

What is the most common mistake with use a simulation to estimate a compound chance?

Your child counted single digits instead of whole tries. A try is a group of digits, one for each step; mark a try only when the whole event happens.

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.

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