Testinar Grade 6 math

Introduction to Probability

Students will build Grade 6 mastery of introduction to probability using models, equations, and test-style reasoning.

CH05-08 Statistics and Probability
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. A bag contains \(3\) red marbles, \(5\) blue marbles, and \(2\) green marbles. If one marble is drawn at random, what is the probability that it is blue?

    1. \(\frac{1}{10}\)
    2. \(\frac{1}{5}\)
    3. \(\frac{1}{2}\)
    4. \(\frac{5}{8}\)

  2. Which event is certain to happen?

    1. Rolling a number greater than 6 on a standard die.
    2. Drawing a card from a deck and it being a heart.
    3. Flipping a coin and it landing on heads or tails.
    4. Picking a red apple from a mixed fruit bowl.

  3. A spinner is divided into \(4\) equal sections colored red, blue, green, and yellow. What is the probability of spinning red or blue?

    1. \(0.25\)
    2. \(0.33\)
    3. \(0.5\)
    4. \(0.75\)

  4. A jar contains \(8\) chocolate chip cookies and \(2\) oatmeal cookies. If you pick one cookie at random, what is the probability you pick an oatmeal cookie?

    1. \(\frac{1}{5}\)
    2. \(\frac{1}{4}\)
    3. \(\frac{2}{8}\)
    4. \(\frac{4}{5}\)

  5. The spinner above is spun. Which probability is impossible?

    Introduction to Probability visual for G6-C05-T08-Q005
    1. \(P(\text{Red}) = 0.25\)
    2. \(P(\text{Blue}) = 0.25\)
    3. \(P(\text{Purple}) = 0.25\)
    4. \(P(\text{Yellow}) = 0.25\)

  6. A standard six-sided die is rolled. What is the probability of rolling a number less than or equal to 4?

    1. \(\frac{1}{6}\)
    2. \(\frac{1}{3}\)
    3. \(\frac{2}{3}\)
    4. \(\frac{5}{6}\)

  7. A bag contains \(6\) white socks and \(4\) black socks. If one sock is drawn randomly, what is the probability of drawing a black sock expressed as a decimal?

    1. \(0.4\)
    2. \(0.6\)
    3. \(0.25\)
    4. \(0.75\)

  8. A number from 1 to 20 is selected at random. What is the probability that the number is even?

    1. \(\frac{1}{20}\)
    2. \(\frac{10}{20}\)
    3. \(\frac{9}{20}\)
    4. \(\frac{1}{2}\)
Teacher and parent reference

Answer key and explanations

  1. C. \(\frac{1}{2}\)

    Total marbles \(=3+5+2=10\). Blue marbles \(=5\). Probability \(=\frac{5}{10}=\frac{1}{2}\).

  2. C. Flipping a coin and it landing on heads or tails.

    Certain events have probability 1. Only choice C must happen every time a coin is flipped.

  3. C. \(0.5\)

    Each color has probability \(\frac{1}{4} = 0.25\). Red or blue \(= 0.25 + 0.25 = 0.5\).

  4. A. \(\frac{1}{5}\)

    Total cookies \(=8+2=10\). Oatmeal cookies \(=2\). Probability \(=\frac{2}{10}=\frac{1}{5}\).

  5. C. \(P(\text{Purple}) = 0.25\)

    The spinner has only red, blue, yellow, and green sections. Purple is impossible because it does not appear on the spinner.

  6. C. \(\frac{2}{3}\)

    Favorable outcomes: \(1, 2, 3, 4\) (four outcomes). Total outcomes: \(6\). Probability \(= \frac{4}{6} = \frac{2}{3}\).

  7. A. \(0.4\)

    Total socks \(= 10\). Black socks \(= 4\). Probability \(= \frac{4}{10} = 0.4\).

  8. D. \(\frac{1}{2}\)

    Even numbers from 1 to 20: \(2, 4, 6, 8, 10, 12, 14, 16, 18, 20\) (10 outcomes). Probability \(= \frac{10}{20} = \frac{1}{2}\).

Free Testinar sample Reviewed November 6, 2026 testinar.com
Page UP