Casio STAT 2 Manuel d'utilisateur télécharger pdf (Page 30)

Activity 5

Ice Cream Favorites

Topic Area: Probability- Combinations

NCTM Standards:

• Understand and apply basic concepts of probability

• Understand the concepts of conditional probability and independent

events (9–12)

• Understand how to compute the probability of a compound event (9–12)

Objective

The student will be able to determine the number of possible variations of flavors

of an ice cream cone given different parameters.

Introduction

In this activity the students will learn how to use the graphing calculator to

determine combinations of ice cream cone flavors. There will be three different

calculations.

Use the following descriptions to go through the solutions manually:

The student is told that he/she has three different flavors to choose from and

asked to find out how many different combinations of two flavors can be made.

In order to do this, he/she needs to know the equation:

P is the number of total choices the student has (in this case it would be the total

number of ice cream flavors) and K is the number of choices the student has in

his/her combination (in this case it would be 2, since he/she is looking for

combinations of two flavors). The exclamation mark means that the number is

a factorial.

Now the student is told that the ice cream store has added 5 new flavors, which

means that the total number of flavors is now 8. They are asked to find out how

many two flavor combinations there are now. The student should use the same

equation as before, only this time P is 8 instead of three (because there are 8 total

choices now).

Teaching Notes

K! (P – K)!

= =

K! (P – K)!

= =

2! (3 – 2)!

= 3 combinations

= =

K! (P – K)!

= =

2! (8 – 2)!

40320

1440

= 28 combinations

1 2 ... 25 26 27 28 29 30 31 32 33 34 35 ... 96 97

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Casio STAT 2 Manuel d'utilisateur Page 30

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