Lesson 3

Discover

 

Finding the probability of two events can sometimes be challenging because the outcome of the second event may depend on the outcome of the first event.

 

In the following Try This you will investigate different probability scenarios.

 

Try This 1

 

Open Compound Independent and Dependent Events and complete the questions that follow.

 

1. Drag three blue and two green marbles into the bag. You will draw two marbles out by setting the “Number of Draws” to “2.” Replace the marbles after each draw by selecting “Yes.” Use a table similar to the following to record your responses.
   
   

   Experiment	Outcome	Calculation	Probability
   Two marbles are drawn and the first marble is replaced.	BB
   	BG
   	GB
   	GG

2. Now conduct the same experiment, but instead each marble is not replaced in the bag after it is drawn. Record your results in a table like the following.
   
   

   Experiment	Outcome	Calculation	Probability
   Two marbles are drawn and the first marble is not replaced.	BB
   	BG
   	GB
   	GG

3. What is the difference between the calculations of the probability when the marble is replaced versus when the marble is not being replaced?

Save your responses in your course folder.

 

Share 1

 

Work with a partner or in a group. Complete the following.

1. Discuss the pattern you found in the probability calculation when the marble is replaced and when the marble is not replaced.
2. Once you have identified a pattern, try another experiment with a different number of blue and green marbles. Does the same pattern hold true when you replace the first marble and when you do not replace the first marble?

If required, place a summary of your discussion in your course folder.