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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 - Challenge Me

NameDate

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

  1. Bo makes 70% of free throws. In 20 copied tries of 2 shots, 11 had both makes. How many percentage points is the estimate from the exact chance?

  2. Esme's bus is late 20% of days, and it rains 40%. In 25 copied days, 3 had a late bus and rain. How many percentage points is the estimate from the exact chance?

  3. Read this first

    Use this

    0 to 5 is a sprout; 6 to 9 is not. Three digits make one try. Tries: 443, 801, 435, 898, 921, 304, 647, 180, 541, 739, 331, 272, 236, 200, 668, 682, 646, 517, 556, 528.

  4. A seed sprouts 60% of the time. Kira copies planting 3 seeds with random digits. From these 20 tries, what is the estimated chance at least 2 sprout, in simplest form?

  5. Use this

    0 to 2 is a make; 3 to 9 is a miss. Three digits make one try. Tries: 274, 603, 284, 128, 173, 851, 400, 385, 546, 115, 898, 773, 232, 939, 012, 042, 491, 319, 486, 841.

  6. Luz makes 30% of long shots and copies 3 shots with random digits. From these 20 tries, what is the estimated chance of at least one make, in simplest form?

  7. Use this

    0 to 7 is a goal; 8 and 9 are misses. Three digits make one try. Tries: 544, 133, 607, 348, 585, 025, 277, 084, 265, 755, 297, 924, 067, 539, 154, 079, 930, 810, 068, 822.

  8. Milo scores on 80% of penalty kicks and copies 3 kicks with random digits. From these 20 tries, what is the estimated chance all 3 are goals, in simplest form?

  9. Marbles

    1, 2, 3 are red; 4, 5 are blue. Other digits and repeats were skipped, so each try is two different marbles. Tries: 51, 34, 32, 13, 14, 53, 23, 51, 42, 23, 23, 41, 25, 52, 15, 45, 34, 12, 32, 32.

  10. Noah's bag has 3 red and 2 blue marbles. Noah copies drawing 2 without looking or putting back, using random digits. From these 20 tries, what is the estimated chance both are red?

  11. Marbles

    1, 2, 3 are red; 4, 5 are blue. Other digits and repeats were skipped, so each try is two different marbles. Tries: 25, 21, 32, 14, 15, 51, 13, 24, 34, 42, 31, 12, 45, 23, 12, 42, 24, 45, 34, 24.

  12. Pia's bag has 3 red and 2 blue marbles. Pia copies drawing 2 without looking or putting back, using random digits. From these 20 tries, what is the estimated chance of one of each color?

  13. Tala's bag has 3 red and 2 blue marbles. Tala draws 2 without looking, and the first is not put back. Which plan copies one draw of 2 with random digits?

    • Digits 1 to 5 are the marbles; repeats are fine because each draw is separate
    • One digit, 1 to 5, for the whole draw
    • Digits 1 to 5 are the marbles; skip 0, 6 to 9 and repeats

  14. Ari makes 75% of free throws and 45% of long shots. Which plan copies one free throw and one long shot with random two-digit numbers 00 to 99?

    • First pair: 00 to 74 is a make. Second pair: 00 to 44 is a make.
    • Both pairs: 00 to 74 mean a make
    • First pair: 00 to 75 is a make. Second pair: 00 to 45 is a make.

  15. Three lights on Bo's route are green 50%, 30% and 20% of the time. Which plan copies one trip past all three with random digits?

    • Three digits: 0 to 4, then 0 to 2, then 0 and 1 mean green
    • One digit: 0 to 4 means all three are green
    • Three digits: 0 to 4 mean green for each light
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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.

More grade 8 math

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