University:
High School
Course:
High School Mathematics
Academic year:

2023
Views:

425

Pages:

4
Author:

dreingjumpf

12.5 Permutations and Combinations Essential Question How can a tree diagram help you visualize the number of ways in which two or more events can occur? Cl EXPLORATION: Reading a Tree Diagram Two coins are flipped and the spinner is spun. The tree diagram shows the possible outcomes. "'1(' ,., \ Coin is flipped. H ------------ T H� ?; Coin is flipped. Ii\ ;,). :•.r Spinner is spun. a. How many outcomes are possible?' ,sf z� .. ,, 3. UH. . 1 1. 2, 3, b. List the possible outcomes. ;, �- ,·, � 1- • 1• 2 ·-· '·) ,v. �: [ Hff·,_ HT TH TH"\I H H �-� H T H :; HT T (; �,,.-, I /1\ 2. 3 \ ,- T . T T . T T "' Consider the tree diagram below. A X /\ y /\ X /\ y /\ X y /\ /\ X y y X /\ /\ /\ X /\ /\ y /\ A B A B A B A B A B A B A B A B A B A B A B A B b. What outcomes are possible for each event? a. How many events are shown? I zA-11 ,,, 1 5 :.. , c--·r 2- o( d. List the possible outcomes. c. How many outcomes are possible? ,sr . ... '" r A (., r e:, : •:.. Df r) I I A 3 A\ .. A 'il:1i ; 2-- -.'I 1 I __,I .! 0 I (.t) A A A ?» l /. � l A I I A A � J3 A 3 Ai ::. A B l 4 2- A :i 4 2- 7 r, A 8 A B A e, Pr c...