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Grade 8 · Math

8th grade Chance of two events in a row worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Chance of two events in a row

Grade 8 Math Worksheet - Building Confidence

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

  1. Bo rolls a fair number cube and spins a spinner with 4 equal parts. A 5 has chance 1/6; blue has chance 1/4. What is the chance of a 5 and blue?

  2. Esme's bag has 2 red and 3 blue marbles. Esme draws one without looking. It is put back, and Esme draws again. Red has chance 2/5 each time. What is the chance both are red?

  3. Jun's bag has 3 red and 5 blue marbles. Jun draws two without looking. The first is not put back. Which product gives the chance both are red?

    • 3/8 × 2/7
    • 3/8 × 3/8
    • 3/8 + 2/7
  4. Kira's bag has 4 green and 2 yellow marbles. Kira draws one without looking. It is put back, and Kira draws again. Which product gives the chance both are green?

    • 4/6 + 4/6
    • 4/6 × 3/5
    • 4/6 × 4/6
  5. Luz puts cards numbered 1 to 5 in a hat. Luz draws two without looking, and the first is not put back. Which product gives the chance both are odd?

    • 3/5 × 2/4
    • 3/5 × 3/5
    • 3/5 × 3/4
  6. Milo spins a spinner with 2 equal parts, red and blue, and rolls a fair number cube. What is the chance of red and a number less than 3, in simplest form?

  7. Noah's bag has 1 red and 3 blue marbles. Noah draws one without looking. It is put back, and Noah draws again. What is the chance both are blue, in simplest form?

  8. Pia's spinner has 5 equal parts, and 2 of them are stars. Pia spins it and flips a fair coin. What is the chance of a star and heads, in simplest form?

  9. Ren's bag has 2 red and 4 blue marbles. Ren draws two without looking, and the first is not put back. What is the chance both are blue, in simplest form?

  10. Zee's bag has 3 green and 4 yellow marbles. Zee draws two without looking, and the first is not put back. What is the chance both are green, in simplest form?

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8th grade Chance of two events in a row worksheet – printable
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About this worksheet

Chance of two events in a row. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the chance of two independent events by multiplying their chances.
  • I can find the chance of two dependent events, using the shorter list for the second chance.
  • I can extend this to three steps and to "either order".

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.

and: Both must happen, so multiply the chances.

either order: Both orders count, so add the two products.

Common mistakes

Your child added the two chances. Both happening is less likely than either one, so multiply the chances.

Your child gave the chance of the first draw only. The event needs every draw, so multiply by each chance.

Your child used the same chance for every draw, as if each was put back. Without putting back, the list is one shorter each time.

Questions parents ask

What is the most common mistake with chance of two events in a row?

Your child added the two chances. Both happening is less likely than either one, so multiply the chances.

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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