Mystery Bags


Activity #1

Probability Game.

  • With a partner, create a game using the spinner below. You can assume the role of another player if there is no partner.
  • Use the numbers, the animals, or a combination.
  • Be creative; think about assigning points to their speed, odd or even numbers, divisibility by 4, prime, etc.
  • Once you spin the wheel, stop it at a random section.

(1.) Assuming the arcs are each equal, are the rules of your game fair?

(2.) How could you make your game fair, if it isn’t?

(3.) What is the probability (between 0 and 1) of landing on 1?

(4.) What is the likelihood (impossible, not likely, neither likely or unlikely, likely, definite) of landing on an even number?

(5.) How would you change the spinner, if you could?

Activity #2

Establish probability as a Ratio.

  • Read the problem in the applet.
  • Count the number of balls and place the answer in the numerator.
  • Count the total number of balls in the bag and enter the value in the denominator. (Tip: It is easier to count all the balls by colors.). if your values are correct, you’ll see a sign that says “correct!”
  • Now, express your answer as a percentage and enter your it as a decimal. The applet will round it up to a whole number.
  • Click to continue.

Activity #3

Number and Representation Game.

2 players or 2 teams are required for this game.

Comparison game:

  • One team gets the ten frame and the other team gets the dice. ​
  • Press to get a value. ​
  • Which team has more dots? That team scores a point. ​
  • First team to have 7 points wins the game.

Difference game:

  • One team gets the ten frame and the other team gets the dice. ​
  • Press to get a value. ​
  • The team scores the difference in points. For example, 13 on the dice and 7 on the ten frames scores 6 points for the dice team. Play to 50 points.

(1.) Is the comparison game fair? Prove your theory with data.

(2.) Is the difference game fair?

Challenge #1

A company tests two new products to make sure they last for more than a year.

  • Product 1 had 950 out of 1,000 test items last for more than a year.
  • Product 2 had 150 out of 200 last for more than a year.

If you had to choose one of these two products to use for more than a year, which one is more likely to last? Explain your reasoning.

Challenge #2

Lin is interested in how many of her classmates watch her favorite TV show, so she starts asking around at lunch. She gets the following responses:

If she asks one more person randomly in the cafeteria, do you think they will say “yes” or “no”? Explain your reasoning.

Challenge #3

Put these numbers in order from least to greatest.

Quiz Time