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Outcomes (possibilities). Tanya had 3 choices for her sandwich : PBJ , ham or turkey . She can choose between 2 types of fruit: apple or banana . She also has the choice of either an oatmeal or chocolate cookie. 08b Outcomes SMC.

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08b outcomes smc

Outcomes (possibilities)

Tanya had 3 choices for her sandwich: PBJ, ham or turkey.

She can choose between 2 types of fruit: apple or banana.

She also has the choice of either an oatmeal or chocolatecookie.

08b Outcomes SMC

How many different possibilities could she create for lunch?

3 x 2 x 2 = 12

Make a tree diagram to illustrate the possible outcomes.


1

2

3

4

5

6

7

8

9

10

11

12


Example 1

Ice cream sundaes at Gary’s Creamery come in 5 flavors with

4 possible toppings.

How many different sundaes can be made with one flavor of ice cream and one topping?

Example 1

Multiply the number of options for ice cream 5 ⋅ 4 = 20

with the number of options for toppings.

There are a total of 20 possible sundaes.


Example 2

Example 2 with

Would it be OK for 2 different cars to have the same license plate?

Why are there license plates on all cars? What are they used for?

How many possible different license plates can be issued in Oregon?

10 x 10 x 10 x 26 x 26 x 26 = 17,576,000


Oregon doesn’t use the letters I or O because they might be mistaken for 1 & zero.

How many license plates are possible if you can’t use I or O as letters?

10 x 10 x 10 x 24 x 24 x 24 = 13,824,000


Example 3 be mistaken for 1 & zero.

What is the probability of winning the school raffle where the winning number is made up of 3 digits from 0 to 9 chosen at random if the numbers can repeat?

Find the total number of possible outcomes.

10 ⋅ 10 ⋅ 10 = 1000

How many winners are there?

There is one winning number

The probability of winning is …

=

0.001

=

0.1 %


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