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8th grade Independent or dependent? Does putting it back matter? worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Independent or dependent? Does putting it back matter?

Grade 8 Math Worksheet - Building Confidence

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

  1. 2 red, 5 blue. Ari's bag holds 3 red and 5 blue marbles. Ari draws a red marble without looking and keeps it out. What is the chance the next draw is red, in simplest form?

  2. 3 green, 2 yellow. Bo's bag holds 4 green and 2 yellow marbles. Bo draws a green marble without looking and keeps it out. What is the chance the next draw is green, in simplest form?

  3. 2 red, 3 white (the red one went back). Esme's bag holds 2 red and 3 white marbles. Esme draws a red marble without looking and puts it back. What is the chance the next draw is red, in simplest form?

  4. 1, 2, 4, 5, 6, 7, 8, 9, 10. Jun has cards numbered 1 to 10 in a bag. Jun draws the card 3 without looking and keeps it out. What is the chance the next card is even, in simplest form?

  5. Kira rolls a fair number cube, then rolls it again. Are the two rolls independent or dependent?

    • Dependent: the second roll comes later than the first
    • Dependent: the same cube is used twice
    • Independent: the cube is the same for both rolls
  6. Noah's class draws two names from a hat, without looking, for two jobs. The first name is not put back. Are the two draws independent or dependent?

    • Independent: every name was in the hat at the start
    • Dependent: the first name stays out, so the hat changes
    • Independent: the jobs are different, so the names do not matter
  7. Pia's bag holds 5 red and 3 blue marbles. Pia draws a red marble without looking and keeps it out. What is the chance the next draw is red, in simplest form?

  8. Ren's bag holds cards numbered 1 to 6. Ren draws the card 2 without looking and puts it back. What is the chance the next draw is even, in simplest form?

  9. Tala's bag holds 4 blue and 4 green marbles. Tala draws a blue marble without looking and keeps it out. What is the chance the next draw is green, in simplest form?

  10. Zee's bag holds 2 red and 6 blue marbles. Zee draws a red marble without looking and keeps it out. What is the chance the next draw is red, in simplest form?

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8th grade Independent or dependent? Does putting it back matter? worksheet – printable
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About this worksheet

Independent or dependent? Does putting it back matter?. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can tell whether two events are independent or dependent by asking if the first result changes the list.
  • I can find the chance of the next draw when the first is put back or kept out.
  • I can compare the two chances and say which is greater, and by how much.

Builds on the grade 7 standard 7.SP.C.8a; high school: S-CP.A.2–3

Words to know

independent: The first result does not change the chances for the next.

dependent: The first result changes the chances for the next.

put back: The item goes back in, so the list is the same.

kept out: The item stays out, so the list is one row shorter.

Common mistakes

Your child used the whole bag for the second draw, as if the first marble went back. When it is kept out, the list for the next draw is one row shorter.

Your child took the kept-out item from the wrong group.

Your child took the item out of its group but kept the old total. The whole list is one shorter too.

What to say

Ask: what color (or number) was the first draw, and which group is one smaller now?

Questions parents ask

What is the most common mistake with independent or dependent? does putting it back matter??

Your child used the whole bag for the second draw, as if the first marble went back. When it is kept out, the list for the next draw is one row shorter.

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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