# Chance Experiments

Warmup

Activity #1

Chance experiment.

• You’llÂ need a sheet of paper and pencil for thisÂ activity.â€‹
• Click 10 times on the Spin button below. Make sure to wait for the arrow toÂ stop before you spinÂ again.â€‹
• Add theÂ numbers under occurrences to confirm thatÂ it isÂ 10. That is the total number ofÂ trials.â€‹
• Express theÂ occurrence of each color as a fractionÂ of the total numberÂ ofÂ trials.â€‹
• Also expressÂ theÂ occurrence of eachÂ colorÂ asÂ aÂ percentage.â€‹
• Perform many more trialsÂ as possible toÂ masterÂ the concept.

Activity #2

`Play Game of Chance.`

The applet below displays a random number from 1 to 6, like a number cube. With a partner, you will play a game of chance.

• In the first round, one of you will score on an even roll and one of you will score on an odd roll. You decide that first.
• In the second round, the winner of round 1 will score on numbersÂ , and the other player will score on numbersÂ .
• Each round is 10 rolls. Be sure to turn on “History” after your first roll and wait for it to update before rolling again.

(1.) When each player had three numbers, did one of them usually win?

(2.) When one player had four numbers, did you expect them to win? Explain your reasoning.

Activity #3

`Classify Events on a Probability Scale.`

Below are some cards that describe events.

• Order the events from least likely to most likely.
• After ordering the first set of cards, add the new set of cards to the first setÂ so that all of the cards are ordered from least likely to most likely.

Challenge #1

Label each event with one of these options: impossible, unlikely, equally likely as not, likely, certain

Challenge #2

Different events have the following likelihoods. Sort them from least to greatest:

Quiz Time