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7th grade Use random numbers to copy a chance situation worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Use random numbers to copy a chance situation

Grade 7 Math Worksheet - Building Confidence

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

  1. A bus is late 35% of the time. Ari uses random two-digit numbers, 00 to 99, each equally likely. Which numbers should stand for a late bus?

    • 35 to 99, which is 65 of the 100 numbers
    • Any number with a 3 or a 5 in it, such as 03, 25 or 53
    • 00 to 35, which is 36 of the 100 numbers
    • 00 to 34, which is 35 of the 100 numbers
  2. A player makes 2 out of every 5 shots. Jun uses one random digit per shot. Which plan copies one shot?

    • 0 to 4 stand for a made shot; 5 to 9 stand for a miss
    • 0 to 3 stand for a made shot; 4 to 9 stand for a miss
    • 4 to 9 stand for a made shot; 0 to 3 stand for a miss
    • 0 and 1 stand for a made shot; 2 to 9 stand for a miss
  3. Read this first

    Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 12, 83, 09, 69, 41, 55, 30, 98, 24, 71, 63, 40, 19, 02, 86, 34.

  4. Kira copies two flips of a fair coin. In each pair of digits, 0 to 4 is heads and 5 to 9 is tails. In the 16 trials shown, how many show two heads?

  5. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 58, 23, 91, 64, 07, 36, 82, 15, 60, 72, 49, 26, 95, 03, 57, 61.

  6. A player makes 70% of shots. Luz copies two shots with digits: 0 to 6 is a made shot. In the 16 trials shown, in how many are both shots made?

  7. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 15, 83, 29, 46, 01, 72, 64, 20, 98, 11, 37, 52, 80, 06, 43, 92, 21, 75, 68, 10.

  8. Each day has a 30% chance of rain. Milo copies two days with digits: 0 to 2 is rain. In the 20 trials shown, in how many does it rain both days?

  9. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 41, 27, 63, 05, 98, 33, 70, 12, 59, 86, 24, 31, 47, 02, 65, 18, 90, 36, 74, 53.

  10. A spinner lands on blue 40% of the time. Noah copies two spins with digits: 0 to 3 is blue. In the 20 trials shown, in how many are both spins blue?

  11. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 67, 20, 95, 43, 81, 56, 09, 72, 38, 64, 19, 88, 50, 31, 76, 24, 97, 65, 03, 89.

  12. Pia copies two flips of a fair coin, 0 to 4 for heads. In the trials shown, what is the estimated chance of at least one head, as a percent?

  13. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 58, 73, 14, 96, 45, 82, 29, 67, 31, 88, 50, 76, 03, 94, 61, 47, 85, 22, 70, 39, 64, 91, 56, 18, 83.

  14. Each of two days has a 30% chance of rain; Ren uses 0 to 2 for rain. From the trials, what is the estimated chance of rain on at least one day, as a percent?

  15. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 47, 96, 62, 10, 48, 89, 35, 93, 57, 21, 28, 98, 71, 67, 39, 84, 50, 91, 58, 66.

  16. A player makes 60% of shots; Tala uses 0 to 5 for a made shot. In the trials shown, what is the estimated chance of making at least one of two shots, as a percent?

  17. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 76, 59, 21, 45, 92, 68, 34, 87, 53, 19, 60, 27, 95, 48, 86, 71, 64, 18, 99, 37, 42, 85, 73, 06, 90.

  18. A spinner has 10 equal sections, 4 blue. Zee uses 0 to 3 for blue. Using the trials, what is the estimated chance of at least one blue in two spins, as a percent?

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7th grade Use random numbers to copy a chance situation worksheet – printable
Print: 123456

About this worksheet

Use random numbers to copy a chance situation. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can choose digits so they copy a chance, including chances that are not tenths (35%, 3/8) and a draw from a bag.
  • I can read a table of simulated trials and count the trials that meet a two-step event.
  • I can set up a simulation for a compound event: how many digits per trial, and what a trial must show to count.
  • I can estimate the chance of "exactly one", "the same twice" and "at least k tries" from trials.
  • I can judge a simulation plan, trust a long run more than a short run, and predict from a simulation.

Standard: 7.SP.C.8c

Words to know

simulation: Using a stand-in, like random digits, to copy a chance situation again and again.

random digits: Digits 0 to 9 where each digit is equally likely at every place.

trial: One run of the simulation, like two digits for two coin flips.

assign: Choose which digits stand for which outcome, so the chances match.

hit: A digit or trial that meets the event.

estimated chance: Trials that match ÷ all the trials. It is not exact.

Common mistakes

Your child gave the event one digit or number too many, so its chance came out a little too big.

Your child gave the digits to the opposite event.

Your child counted single digits that fit instead of whole trials.

What to say

Ask: how many digits make exactly the chance in the story?

Ask: which outcome do the chosen digits stand for?

Ask: what is one trial made of?

Questions parents ask

What is the most common mistake with use random numbers to copy a chance situation?

Your child gave the event one digit or number too many, so its chance came out a little too big.

How can I help my child with use random numbers to copy a chance situation?

Ask: how many digits make exactly the chance in the story?

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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