Task Sets: Approximate the probability of a chance event by collecting data - Common Core Math - Grade 7

Recall / Warm-Up

A spinner is spun 50 times. It lands on 'blue' 18 times. Which fraction correctly represents the relative frequency of blue?

$\frac{18}{32}$

$\frac{18}{50}$

$\frac{32}{50}$

$\frac{50}{18}$

Express $\frac{34}{80}$ as a decimal. Round to the nearest thousandth.

A store sells 300 items in a day. If 0.6 of the items are clothing, how many clothing items were sold?

Fluency

A coin is flipped 80 times. Heads appeared 34 times. Compute the experimental probability of heads as a decimal.

A standard 6-sided die is rolled 180 times. How many times would you expect to roll a 4?

Which statement correctly defines experimental probability?

The theoretical fraction of outcomes that should produce the event based on the structure of the experiment.

The count of favorable outcomes in an experiment.

The fraction of trials in which the event occurred: (number of occurrences) $\div$ (total number of trials).

The probability assigned to an event before any trials are conducted.

A spinner is spun 120 times. Results: Red = 42 times, Blue = 38 times, Green = 40 times. Compute the experimental probability of Red as a fraction in lowest terms.

Which statement best describes what 'long-run relative frequency' means in probability?

After running an experiment many times, the experimental probability will eventually equal the theoretical probability exactly.

As the number of trials increases, the experimental probability gets closer and closer to the theoretical probability.

Long-run relative frequency only applies to coin flips, not to other probability experiments.

The relative frequency stays constant after the first 50 trials.

Experimental Probability: Measuring, Predicting, and Comparing

Recall / Warm-Up

Fluency