In this activity, students perform a simulation to guess answers on a test and determine the experimental probability of passing the test. They then compare it with the theoretical probability.

Before the Activity

Set up the calculator as explained in the attached PDF file

See the attached PDF file for detailed instructions for this activity

Print pages 111 - 128 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the Activity procedures:
Part 1:

List the correct answer for each multiple choice question

Generate a list of random numbers between 1 and 4

Compare the two lists

Find the number of correct answers in the simulation

Use this data to plot a histogram, and find the mean, mode, and median for the number of correct answers

Compare the experimental and theoretical probabilities for the data

Part 2:
Run a simulation to check to see if the calculator produces an answer distribution similar to that on the actual test:

Generate a list of random numbers between 1 and 4 to represent the answers to 20 questions on the test

Sort the list and count the frequency of each option

Repeat the steps for two more trials

Determine the number of times an answer-option occurs in each trial

Plot a pie chart for each of the trial-tests

Create a pictograph using the data from the three trials

Construct bar graphs and observe that this graph shows the results of all three tests

After the Activity

Students will complete the Data Collection and Analysis page and answer questions.

Review student results:

As a class, discuss questions that appeared to be more challenging