A great way to get students engaged in the mathematical concepts they are learning is to give them problems that involve real world things that they can actually relate to. Everyone at some point in time has rolled dice during some sort of game, so this picture can relate to students and get them interested in learning more about probability.

Using this picture, ask the students which numbers they think the dice will land on. This lesson can involve theoretical probability and experimental probability. They can start by calculating the theoretical probabilities of different combinations of numbers that the dice could land on. Then they can either use two actual dice, or even the dice rolling app on a graphing calculator to find the experimental probability. This activity gives students the opportunity to have a hands on experience with the concept of probability.

This problem is aligned with:

CCSS.MATH.CONTENT.HSS.MD.A.3

(+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.

CCSS.MATH.CONTENT.HSS.MD.B.5.A

Find the expected payoff for a game of chance. For example, find the expected winnings from a state lottery ticket or a game at a fast-food restaurant.