# Roll the Dice - Probability & Statistics

Students will learn about probability and statistics while rolling dice and flipping a coin carefully recording their results.

**Objectives & Outcomes:**

The students will be able to use probability and statistics to determine randomly what they will buy.

**Materials Needed:**

1) An assortment of different kinds of candy bars or small toys.

2) Dice

3) Coin

4) Advertisement/pricing information of the candy/toys being sold

5) Piece of paper and pencil for each student

**Procedure:**

Opening to Lesson:

1) Explain the lesson to the class, letting them know the objective of the lesson and what we will be studying.

2) Tell them to guess if the class will want to buy candy bars or little toys.

**Body of Lesson:**

Modeling:

1) Give each student a different type of candy/toy, letting them know how much it costs.

2) Let the students roll the dice and flip the coin for a few minutes, giving them a chance to feel the texture of the candy/toys. During this time they will be determining which item they want.

**Guided Practice:**

1) explain that students will first write many descriptions of their roll or flip, recording the number of each with tally marks on their sheet. For example, A roll of 83 has a V shape.

2) Point out how many different ways a child can write 3.

3) Bring studentsâ€™ attention to the rules of probability.

4) As students roll the dice and flip the coin, ask them how they can figure out if the other probability rule (the total possibilities rule) is correct.

5) Guide students to write different ways they might flip or roll numbers that might never be used or canâ€™t happen such as 6 on a die or 4 on a coin and what the total possibilities are.

6) Repeat these procedures with two objects such as a hexagon and a cube- ask students how they can figure out the total possibilities of rolling a 10 (two cubes and a hexagon).

7) Then ask students how to figure out their chances of doing something by writing a 10 on their card.

8) Using the calculator, direct the students to find the total possibilities of a variety of ways students might roll or flip numbers.