12.3 Introduction to Probability
Algebra 2
DICE:
Question 1: What are the chances of rolling 2 dice, and getting a sum of 8 ?
Step 1: Determine the SAMPLE SPACE.
( How many total outcomes exist when 2 dice are rolled?)
Step 2: How many of these outcomes give a sum of 8?
Step 3: Determine your chances, using theoretical probability:
Question 2: What is the probability of rolling 2 dice, and getting a sum other than
8?
Question 3: What do you notice about P (Sum of 8) and P (Sum not 8)?
 these two events are ____________________
Find the probability of the following events:
1.) The total is 10 _______
2.) The total is at least 9 ______
3.) The total is at most 7 _______
4.) The total is between 3 and 7_______
5.) The total is 13 _______
6.) The total is less than or equal to 12 ______
______
!
PROBABILITY ! ________
ODDS: Odds measures the ratio of the chances in favor of the event occurring to
the chances against the event occurring.
Find the odds of rolling a sum of 8________
Find the odds of rolling a sum that exceeds 10_______
Find the odds of rolling doubles._______
12.3 Introduction to Probability
Algebra 2
1.) What is the probability of drawing jack from a standard 52-card deck?
2.) Find the probability of not getting a jack.
3.) Find the probability of drawing a jack or a spade.
4.) Find the probability of drawing a jack of spades.
5.) Find the odds of drawing an ace.
Using Permutations and Combinations
You put a CD that has 8 songs in your CD player. You set the player to shuffle the songs.
The player plays all 8 songs without repetition.
a.) What is the probability that the songs are played in the original order they were listed
on the CD?
b.) You have 4 favorite songs on the CD. What is the probability that 2 of your favorite
songs are played first, in any order?
Geometric Probability
You throw a dart at the board shown. Your dart is equally likely to hit any point inside the
square board.
P (10 points) =
P(0 Points)=
Homework: p.719 #18-34 all, 37-41 all
12.3 Introduction to Probability
Algebra 2