Page 169 - Math Course 1 (Book 2)
P. 169

Fundamental Counting Principle

                 Mo. 11

                 Lesson 6                                           Key Concept




                                                                    Fundamental Counting Principle
                 KEY CONCEPTS:
                 1. Use tree diagrams or the Fundamental           Words     If event M can occur in m outcomes
                     Counting Principle to count outcomes.                   and is followed by event N that can
                 2. Probability: Fundamental Counting                        occur in n outcomes, then the event
                     Principle                                               M followed by N can occur in m • n
                                                                             outcomes.

                                                                   Example   If there are 5 possible deck and 3
                                                                             possible sets of wheels, then there
                MO. 11 - L6a                                                 are 5 • 3 or 15 possible skateboards.

                        Counting Outcomes:                                          My New Car

                 Fundamental Counting Principle



                            Vocabulary A-Z
                            Let us learn some vocabulary
                                                                  GL SS SL GL SS SL  GL SS SL  GL SS SL GL SS SL  GL SS SL GL SS SL  GL SS SL  GL SS SL GL SS SL
                                                                  You can count the choices, or just do the simple calculation:
                                                                                    Total Choices =  2 x 5 x 3 = 30

                tree diagram
                diagram used to represent the possible outcomes.                Let’s Begin




                                                                  Use a Tree Diagram to Count Outcomes


                                                                      Example


                                                                   GREETING CARDS

                                                                   A greeting card maker offers three birthday
                                                                   greetings in four possible colors, as shown below.
                                                                   Draw a tree diagram to f nd the number of cards
                                                                   that can be made from three greeting choices and
                fundamental counting principle                     four color choices?
                The fundamental counting principle relates the
                number of outcomes to the number of choices.           Greeting     Color

                               the                                    Humorous       Blue
                                                          the
                  The         number        the         number
                 number        of          number         of
                 of types     lengths      of types     possible      Traditional   Green
                of boots  times  of skis  times  of poles  equals  outcomes
                                                                       Romantic    Orange
                  4      x      5     x      2     =     40
                                                                                     Red








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