Students will act as contestants on a game show in order to establish a problem in which expected value can be used to determine whether they should play the game or quit without taking risks. They will also calculate simple and compound probabilities related to playing cards and rolling dice.

- Mathematics > General
- Mathematics > Data Analysis & Probability

- Grade 9
- Grade 10

Represent data with plots on the real number line (dot plots, histograms, and box plots).

Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.

Find the expected payoff for a game of chance.

(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).

(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).