1. Making Decisions and Predictions
10-6
Making Decisions and Predictions
Course 3
Warm Up
Problem of the Day
Lesson Presentation

2. Making Decisions and Predictions
Course 3
10-6
Making Decisions and Predictions
Warm Up
Solve each proportion.
= =
= =
x 5.1
6 1.7
24 108
n 9 18 2
65 0.1
13 x
46 n
200 46
0.02
10.58

3. Making Decisions and Predictions
Course 3
10-6
Making Decisions and Predictions
Problem of the Day
Aiden is playing a board game using two six-sided number cubes. He wins if he doesn’t roll a six or a seven. What is the probability that Aiden will win on his next turn?
25 36

4. Making Decisions and Predictions
Course 3
10-6
Making Decisions and Predictions
Learn to use probability to make decisions and predictions.

5. Making Decisions and Predictions
Course 3
10-6
Making Decisions and Predictions
Additional Example 1A: Using Probability to Make Decisions and Predictions
The table shows the satisfaction rating in a business’s survey of 500 customers. Of their 240,000 customers, how many should the business expect to be unsatisfied?
Pleased
Satisfied
Unsatisfied
125
340 35
Find the probability of unsatisfied customers in the survey.
number of customers unsatisfied in survey total number of customers surveyed
35 500
7 100 = or

6. Additional Example 1A Continued
Course 3
10-6
Making Decisions and Predictions
Additional Example 1A Continued
t n t 240,000 =
Set up a proportion.
7 x 240,000 = 100n
Find the cross products.
1,680,000 = 100n t
Divide both sides by 100.
16,800 = n
The business should expect to have 16,800 unsatisfied customers.

7. number of possible outcomes total possible outcomes
Course 3
10-6
Making Decisions and Predictions
Additional Example 1B: Using Probability to Make Decisions and Predictions
Jared randomly draws a card from a 52-card deck and tries to guess what it is. If he tried this trick 1040 times over the course of his life, what is the best prediction for the amount of times it works?
Find the theoretical probability of successful trick attempts.
number of possible outcomes total possible outcomes
1 52 =

8. Additional Example 1B Continued
Course 3
10-6
Making Decisions and Predictions
Additional Example 1B Continued
t n t 1040 =
Set up a proportion.
1  1040 = 52n
Find the cross products.
1040 = 52n t
Divide both sides by 52.
20 = n
The trick would work about 20 times.

9. Making Decisions and Predictions
Course 3
10-6
Making Decisions and Predictions
Check It Out: Example 1A
The table shows the satisfaction rating in a business’s survey of 500 customers. Of their 240,000 customers, how many should the business expect to be pleased?
Pleased
Satisfied
Unsatisfied
125
340 35
Find the probability of pleased customers in the survey.
number of customers pleased in survey total number of customers surveyed
1 4 = or

10. Check It Out: Example 1A Continued
Course 3
10-6
Making Decisions and Predictions
Check It Out: Example 1A Continued
t n t 240,000 =
Set up a proportion.
1  240,000 = 4n
Find the cross products.
240,000 = 4n t
Divide both sides by 4.
60,000 = n
The business should expect to have 60,000 please customers.

11. number of possible outcomes total possible outcomes
Course 3
10-6
Making Decisions and Predictions
Check It Out: Example 1B
Kaitlyn randomly draws a domino tile from an 18 piece set and tries to guess what it is. If she tries this trick 2250 times over the course of her life, what is the best prediction for the amount of times it works?
Find the theoretical probability of successful trick attempts.
number of possible outcomes total possible outcomes
1 18 =

12. Check It Out: Example 1B Continued
Course 3
10-6
Making Decisions and Predictions
Check It Out: Example 1B Continued
t n t 2250 =
Set up a proportion.
1 x 2250 = 18n
Find the cross products.
2250 = 18n t
Divide both sides by 18.
125 = n
Approximately 125 times the trick would work.

13. Additional Example 2: Deciding Whether a Game is Fair
Course 3
10-6
Making Decisions and Predictions
Additional Example 2: Deciding Whether a Game is Fair
In a game, two players each flip a coin. Player A wins if exactly one of the two coins is heads. Otherwise, player B wins. Determine whether the game is fair.
List all possible outcomes.
HH HT TT TH
Find the theoretical probability of each player’s winning.
1 2
There are 2 possibilities with exactly 1 coin as heads.
P(player A winning) =
1 2
P(player B winning) =
Since = , the game is fair.
1 2

14. Making Decisions and Predictions
Course 3
10-6
Making Decisions and Predictions
Check It Out: Example 2
In a new game, two players each flip a coin. Player A wins if at least one of the two coins is heads. Otherwise, player B wins. Determine whether the game is fair.
List all possible outcomes.
HH HT TT TH
Find the theoretical probability of each player’s winning.
3 4
There are 3 possibilities with at least 1 coin as heads.
P(player A winning) =
1 4
P(player B winning) =
Since ≠ , the game is not fair.
1 4
3 4

15. Making Decisions and Predictions Insert Lesson Title Here
Course 3
10-6
Making Decisions and Predictions
Insert Lesson Title Here
Lesson Quiz: Part I
1. Out of the 35 products a salesperson sold last week, 8 of them were products worth over $200. About how many of these products should the salesperson expect to sell if he has 140 customers next month?
2. A student answers all 12 multiple choice questions on a quiz at random. Each multiple choice question has 4 choices. What is the best guess for the amount of multiple choice questions the student will answer correctly? 32 3

16. Making Decisions and Predictions Insert Lesson Title Here
Course 3
10-6
Making Decisions and Predictions
Insert Lesson Title Here
Lesson Quiz: Part II
3. In a game, two players each roll a 6-sided number cube and add the two numbers. If the roll is a 6 or less, player A wins. If the roll is 8 or more, player B wins. if the roll is a 7, the players tie and roll again. Is this a fair game?
Yes