# Lesson 7 Slacker’s Simulation Solidify Understanding

## Jump Start

Find the following:

### 1.

The probability that a fair coin is tossed twice and lands on heads both times.

### 2.

The probability that a spinner with

## Learning Focus

Perform a simulation to determine if an event can occur.

Is there a way to test a claim without performing a study on actual subjects?

## Open Up the Math: Launch, Explore, Discuss

I know a student who forgot about the upcoming history test and did not study at all. To protect his identity, I’ll just call him Slacker. When I reminded Slacker that we had a test in the next class, he said that he wasn’t worried because the test has

I’m skeptical, but Slacker said, “Hey, sometimes you flip a coin and it seems like you just keep getting heads. You may only have a

### 1.

What do you think of Slacker’s claim? Is it possible for him to get

I thought about it for a minute and said, “Slacker, I think you’re on to something. I’m not sure that you will get

### 2.

Try it a few times yourself. To save a little time, just flip

# Correct (Heads) | # Incorrect (Tails) | % Correct | |
---|---|---|---|

Test 1 | |||

Test 2 | |||

Test 3 | |||

Test 4 | |||

Test 5 |

Did you get

### 3.

Based on your trials, do you think Slacker is likely to get

### 4.

Check out the histogram that represents the data from the whole class. Now what do you think of Slacker’s chances of getting

Pause and Reflect

### 5.

What would you expect the graph to look like if you continued to collect samples? Why?

### 6.

Based upon your understanding of this distribution, what would you estimate the likelihood of Slacker getting

## Ready for More?

Padma has been playing a board game with her friends where the moves are determined by the sum of the numbers on three number cubes. In the last game, one of Padma’s friends needed to roll a sum of

#### a.

Which of these statements are true about rolling

#### A.

It is not possible to roll 5 in this game.

#### B.

It is not very likely to roll

#### C.

Rolling

#### D.

Rolling

#### E.

Rolling

#### b.

Explain each of your choices.

## Takeaways

Simulation:

## Vocabulary

- simulation
**Bold**terms are new in this lesson.

## Lesson Summary

In this lesson, we used simulation to model the outcome of a random event. Using many trials, we created a distribution and used it to predict the likelihood of an event.

### 1.

Find

### 2.

Find

### 3.

In a group of

#### a.

Draw a Venn diagram to represent this information.

#### b.

If a student, chosen at random, is taking algebra, what is the probability that he or she is taking biology? (Let

#### c.

Which notation means the same thing as the question in part b?

#### A.

P(A)

#### B.

P(A\cup B)

#### C.

P(A\cap B)

#### D.

P(B|A)

#### E.

P(A|B)