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Daniel Math Academy · Grade 8 Math

Unit Review: Independent & dependent events

Grade 8 · 4 skills · ★★☆ Medium

Name
 
Date
 
Score/ 16

P.1Write independent or dependent.

  1. 1
    Choose one book from a shelf to borrow, then choose a second book from those left. 
  2. 2
    Flip a coin, then roll a number cube. 
  3. 3
    Spin a spinner, then spin it again. 
  4. 4
    Choose a class president, then choose a different student as vice president. 
Daniel Math Academy · danielmath.comWorksheet #3va8ace · Page 1 / 4
Daniel Math Academy · Grade 8 Math
Unit Review: Independent & dependent events

P.2P.3Marbles are picked without looking. Write each probability as a fraction in simplest form.

  1. 5
    RRRRBBBBBGGG
    Put the first marble back. P(red, then blue) = 
  2. 6
    GGGGBB
    Put the first marble back. P(green, then blue) = 
  3. 7
    YYYYBBBBB
    Put the first marble back. P(yellow, then blue) = 
  4. 8
    RRGG
    Put the first marble back. P(green, then red) = 
  5. 9
    YYYYBBB
    Keep the first marble. P(blue, then yellow) = 
  6. 10
    RRRRYYYYYBB
    Keep the first marble. P(red, then blue) = 
Daniel Math Academy · danielmath.comWorksheet #3va8ace · Page 2 / 4
Daniel Math Academy · Grade 8 Math
Unit Review: Independent & dependent events

P.3Marbles are picked without looking. Write each probability as a fraction in simplest form. (continued)

  1. 11
    YBBBBBGGGG
    Keep the first marble. P(green, then green) = 
  2. 12
    BGGGGGRRRR
    Keep the first marble. P(blue, then red) = 

P.4Marbles are picked without looking. Write probabilities in simplest form.

  1. 13
    BBRYYY
    Put the first marble back. P(blue, then red) = 
  2. 14
    RRRBBBBBYYY
    Put the first marble back. P(yellow, then yellow) = 
  3. 15
    RGGGG
    Put the first marble back. P(green, then red) = 
  4. 16
    GGGGGYBBB
    Put the first marble back. P(blue, then green) = 
Daniel Math Academy · danielmath.comWorksheet #3va8ace · Page 3 / 4
Daniel Math Academy · Grade 8 Math

Answer Key

Unit Review: Independent & dependent events · ★★☆ Medium

P.1Independent or Dependent Events?

  1. 1dependent
  2. 2independent
  3. 3independent
  4. 4dependent

P.2P.3Marbles are picked without looking. Write each probability as a fraction in simplest form.

  1. 5
  2. 6
  3. 7
  4. 8
  5. 9
  6. 10
  7. 11
  8. 12

P.4Independent & Dependent Events Review

  1. 13
  2. 14
  3. 15
  4. 16
Daniel Math Academy · danielmath.comWorksheet #3va8ace · Answer Key · Page 4 / 4