MATHEMATICS 2
Probability Exploration Room
Objective M2.4.A The Fundamental Counting Principle
Objective M2.4.C Permutations, Combinations, and Factorials
Students will explore what they have learned about the fundamental counting principle, permutations, combinations, and factorials. You verify that you have acquired probability tools and knowledge with the following experiences. Then, you will rethink, revise, and reflect on progress before completing the final assessments for this objective.
The WhammiesThis manipulative allows you to explore different voting schemes by computing the winner of the fictional Whammy Awards. The instructions are under the question mark in the top right corner. While you are working with manipulative, I would like you to think about the following questions.
What do voting procedures have to do with counting principles? What types of permutations can occur? What is it that makes some permutations contradictory? The Whammies 
Hamlet Happens
This manipulative allows you to verify that rare events happen by drawing letters from a box. Once again, the instructions are under the question mark in the top right corner. While you are working with manipulative, I would like you to think about the following questions.
What is the probability of a twoletter word being drawn? Of a fiveletter word being drawn? Are your numbers different? Why or why not? Is there a difference between probability and possibility? Hamlet Happens

Stick or Switch
This probability game is an electronic version of the old TV game show Let's Make a Deal, hosted by Monty Hall. Behind one of the doors is a grand prize, the other two doors lead to some real losers. To play the game, select a door by clicking on it. "Monty" then reveals what is behind one of the two doors that you didn't open. You are then given the option to stick with your original selection or switch to the other door.
The instructions are under the question mark in the top right corner. While you are working with manipulative, I would like you to think about the following questions. Stick or Switch 
CalculatorMost calculators have builtin functions. A course requirement is that the student have access to a TI83 or newer calculator. More information on Texas Instruments calculators can be found here.
Please take a moment to review how your calculator works for probability functions. If you cannot find all of the functions, this video reviews some of them for you; the information about your calculator occurs at about 4 minutes and 44 seconds. When you are ready to continue with the Exploration of Knowledge and Tools, you may use the "Back" button on your browser. 