Grade 7 | Unit 8 | Lesson 9: Multi-step Experiments | Practice Problems

A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each. A second machine has 4 different animal-shaped rubber bands (lion, elephant, horse, and alligator) and an equal chance of dispensing each. If you buy one item from each machine, what is the probability of getting a yellow gumball and a lion band?

• \(\frac{1}{20}\)

• \(\frac{1}{10}\)

• \(\frac{1}{5}\)

• \(\frac{1}{4}\)

• \(\frac{1}{2}\)

The numbers 1 through 10 are put in one bag. The numbers 5 through 14 are put in another bag. When you pick one number from each bag, what is the probability you get the same number?

• \(\frac{6}{100}\)

• \(\frac{5}{100}\)

• \(\frac{4}{100}\)

• \(\frac{3}{100}\)

• \(\frac{2}{100}\)

When rolling 3 standard number cubes, the probability of getting all three numbers to match is \(\frac{6}{216}\). What is the probability that the three numbers do not all match? Explain your reasoning.

• \(\frac{210}{216}\)

• \(\frac{200}{216}\)

• \(\frac{190}{216}\)

• \(\frac{180}{216}\)

• \(\frac{170}{216}\)

For each event, write the sample space and tell how many outcomes there are. Roll a standard number cube. Then flip a quarter.

• 12 outcomes: 1h, 1t, 2h, 2t, 3h, 3t, 4h, 4t, 5h, 5t, 6h, 6t

• 10 outcomes: 1h, 1t, 2h, 2t, 3h, 3t, 4h, 4t

• 8 outcomes: 1h, 1t, 2h, 2t, 3h, 3t

• 6 outcomes: 1h, 1t, 2h, 2t

• 4 outcomes: 1h, 1t

For each event, write the sample space and tell how many outcomes there are. Select a month. Then select 2020 or 2025.

• 24 outcomes: Jan 2020, Jan 2025, Feb 2020, Feb 2025, Mar 2020, Mar 2025, Apr 2020, Apr 2025, May 2020, May 2025, Jun 2020, Jun 2025, Jul 2020, Jul 2025, Aug 2020, Aug 2025, Sep 2020, Sep 2025, Oct 2020, Oct 2025, Nov 2020, Nov 2025, Dec 2020, Dec 2025.

• 12 outcomes: Jan 2020, Feb 2020, Mar 2020, Apr 2020, May 2020, Jun 2020, Jul 2020, Aug 2020, Sep 2020, Oct 2020, Nov 2020, Dec 2020.

• 12 outcomes: Jan 2025, Feb 2025, Mar 2025, Apr 2025, May 2025, Jun 2025, Jul 2025, Aug 2025, Sep 2025, Oct 2025, Nov 2025, Dec 2025.

• 6 outcomes: Jan 2020, Feb 2020, Mar 2020, Jan 2025, Feb 2025, Mar 2025.

• 3 outcomes: Jan 2020, Feb 2020, Jan 2025.

On a graph of the area of a square vs. its perimeter, a few points are plotted. Add some more ordered pairs to the graph. Is there a proportional relationship between the area and perimeter of a square? Explain how you know.