Testinar Grade 7 math

What Is Probability?

Students will build Grade 7 mastery of what is probability? using models, equations, and test-style reasoning.

CH09-01 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. Which value could represent the probability of an event?

    1. \(-0.2\)
    2. \(0.35\)
    3. \(1.5\)
    4. \(200\%\)

  2. A probability number line is shown below. Which probability is marked on the number line?

    What Is Probability? visual for G7-C09-T01-Q002
    1. \(0.1\)
    2. \(0.2\)
    3. \(0.3\)
    4. \(0.4\)

  3. Which fraction is equivalent to a probability of \(0.75\)?

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

  4. Which event has a probability of \(1\) (certain)?

    1. Rolling an even number on a standard die
    2. Flipping a coin and getting heads
    3. Picking a red card from a standard deck
    4. The sun rising tomorrow

  5. Which event has a probability of \(0\) (impossible)?

    1. Rolling a 7 on a standard six-sided die
    2. Flipping a coin and getting tails
    3. Drawing a number from 1 to 10
    4. Picking a blue marble from a bag of blue marbles

  6. A weather forecast says there is a \(60\%\) chance of rain tomorrow. What is this probability as a decimal?

    1. \(0.06\)
    2. \(0.6\)
    3. \(6.0\)
    4. \(60\)

  7. A bag contains 8 red marbles and 12 blue marbles. If you pick one marble without looking, what is the probability of picking a red marble?

    1. \(\frac{8}{20}\)
    2. \(\frac{12}{20}\)
    3. \(\frac{8}{12}\)
    4. \(\frac{20}{8}\)

  8. Which probability best matches the phrase "even chance"?

    1. \(0.2\)
    2. \(0.5\)
    3. \(0.8\)
    4. \(0.9\)
Teacher and parent reference

Answer key and explanations

  1. B. \(0.35\)

    Probability is always between \(0\) and \(1\) (inclusive). Only \(0.35\) fits.

  2. C. \(0.3\)

    The point is at the third tick mark from \(0\) to \(1\), which represents \(0.3\).

  3. B. \(\frac{3}{4}\)

    \(\frac{3}{4} = 0.75\). Dividing \(3 \div 4 = 0.75\).

  4. D. The sun rising tomorrow

    The sun rising tomorrow is certain (probability = 1). The other events are uncertain.

  5. A. Rolling a 7 on a standard six-sided die

    A standard die only has faces 1--6, so rolling a 7 is impossible (probability = 0).

  6. B. \(0.6\)

    \(60\% = \frac{60}{100} = 0.6\).

  7. A. \(\frac{8}{20}\)

    Total marbles = \(8 + 12 = 20\). Probability = \(\frac{\text{red}}{\text{total}} = \frac{8}{20}\).

  8. B. \(0.5\)

    An even chance means equally likely to happen or not, which is \(P = 0.5 = 50\%\).

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