# Lesson 7

Simulating Multi-step Experiments

### Lesson Narrative

In this lesson, students see that compound events can be simulated by using multiple chance experiments. In this case, it is important to communicate precisely what represents one outcome of the simulation (MP6). For example, if we want to know the probability that a family with three children will have at least one girl, we can toss one coin to represent each child and use each set of three coin tosses to represent one family. Therefore, if we toss a coin 30 times, we will have run this simulation only 10 times.

Students continue to consider how a real-world situation can be represented using simulation (MP4).

### Learning Goals

Teacher Facing

• Coordinate (orally) a real-world situation and a chance event that could be used to simulate that situation.
• Perform a multi-step simulation, and use the results to estimate the probability of a compound event in a real-world situation (using words and other representations).

### Student Facing

Let’s simulate more complicated events.

### Required Preparation

Print and cut up spinners from the Alpine Zoom blackline master. One spinner for each group of 3 students.

For the Kiran’s Game activity, a paper bag containing 4 snap cubes (2 black and 2 white) is needed for every 3 students.

Other simulation tools (number cubes, bags with colored snap cubes, etc.) should be available.

### Student Facing

• I can use a simulation to estimate the probability of a multi-step event.