Algebra 2
1.
Counting Principles (Pearson Realize Chp 11.1)
How many different ways could you choose a
sandwich, side dish, and dessert?
2. How many lunches can you make that include a veggie burger?
Tree Diagrams: Each branch of a tree diagram represents a possible outcome. The number of branches at each
endpoint depends on the number of ways in which an event can happen. Together, all of the branches represent all of
the possible outcomes of an event.
Ice Cream Sundaes:
Draw a tree diagram representing the different sundaes you can have:
Textbook Practice:
Practice:
1. How many different boy - girl dancing pairs can be made from 12 boys and 15 girls?
2. Kira has 3 skirts, 2 jackets, and 3 blouses. How many different outfits could she wear?
3. How many different ways can a 10 question multiple choice test be answered if there are four choices for
each question and none can be left blank?
4. A code name consists of four letters. How many code names are possible if you may use any letters of the
alphabet?
5. A code name consists of four letters. How many code names are possible if you may use any letters of the
alphabet but repetition within a code name is not allowed?
6. A code name consists of four letters. How many code names are possible if you may use any letters of the
alphabet and the code name must end in a vowel (a, e, i, o, or u)?
Name ____________________________
Date______________
Counting/Permutation Practice
Find the size of the sample space of the following events:
(All examples are with replacement)
1.
Flipping a coin 5 times
2.
Rolling 2 dice
3.
Rolling 3 dice
4.
The sequence in which you can have 3 children
5.
Choosing 2 cards, one at a time from a deck of 52
6.
Choosing 3 cards from a pinochle deck one at a time (48 cards)
7.
Choosing 3 digits in succession from 0 – 9
8.
Choosing 4 letters one at a time
9.
Rolling one die 10 times
10.
Choosing 3 digits followed by 4 letters
Find the size of the sample space of the following events without replacement.
11.
Choosing 2 cards from a deck of 52
12.
Choosing 3 digits
13.
Selecting 4 letters
14.
Selecting 3 digits followed by 4 letters
Counting Practice:
15.
How many ways can you randomly answer a 5 question true false quiz?
16.
How many different ways can you randomly answer a 5 question, 4 options multiple choice quiz?
17.
How many different ways can you randomly answer a 12 question, 4 option multiple choice quiz?
18.
How many different ways can you randomly answer a 12 question, 4 options multiple choice quiz if you
eliminate 1 choice from every question?
19.
How many different ways can you randomly answer a 12 question, 4 options multiple choice quiz if you
eliminate 2 choices from every question?
20.
How many different ways can you randomly answer a 12 question, 4 options multiple choice quiz if you
eliminate 2 choices from the first 5 questions, 1 option from the next 4 and randomly guess on the last three?