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Grade 8 · Math

8th grade Chance of two events in a row worksheet

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Level: Building Confidence · On Level · Challenge Me

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Chance of two events in a row

Grade 8 Math Worksheet

NameDate

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

  1. Ari's bag has 5 red and 3 blue marbles. Ari draws one without looking. It is put back, and Ari draws again. Which product gives the chance both are blue?

    • 3/8 × 3/8
    • 3/8 + 3/8
    • 3/8 × 2/7
  2. Bo's bag has 4 red and 5 blue marbles. Bo draws two without looking, and the first is not put back. Which product gives the chance of red, then blue?

    • 4/9 × 4/8
    • 4/9 × 5/9
    • 4/9 × 5/8
  3. Esme has letter tiles M, A, T and H. Esme draws two without looking, and the first is not put back. Which product gives the chance of A, then T?

    • 1/4 + 1/3
    • 1/4 × 1/4
    • 1/4 × 1/3
  4. Jun rolls a fair number cube twice. What is the chance the first roll is greater than 4 and the second roll is even, in simplest form?

  5. Bag A has 2 red and 3 white marbles; bag B has 3 red and 1 white. Kira draws one from each, without looking. What is the chance both are red, in simplest form?

  6. Luz spins a spinner with 4 equal parts (red, blue, yellow, green) twice. What is the chance the first is blue and the second is not blue, in simplest form?

  7. Noah's bag has 5 red and 7 blue marbles. Noah draws two without looking, and the first is not put back. What is the chance both are red, in simplest form?

  8. Pia puts cards numbered 1 to 10 in a hat. Pia draws two without looking, and the first is not put back. What is the chance both are even, in simplest form?

  9. Tala's bag has 4 red and 6 blue marbles. Tala draws two without looking, and the first is not put back. What is the chance of red, then blue, in simplest form?

  10. Zee has the 6 letter tiles of BANANA. Zee draws two without looking, and the first is not put back. What is the chance both are N, 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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