Introduction to Probability

Objective: Find the theoretical probability of an event.

%7.15 %2.1012 %40%34 %5.66 %9.42

%7.15 %2.1012 %40%34 %5.66 %9.42

22 255 cm 22 93 in

Random Outcomes

Theoretical Probability

Example 1

Example 1

Try This

• Find the probability of randomly selecting a blue disk in one draw from a container that contains 2 red disks, 3 blue disks, and 3 yellow disks.

Try This

• Find the probability of randomly selecting a blue disk in one draw from a container that contains 2 red disks, 3 blue disks, and 3 yellow disks.

• The event is selecting one blue disk. The number of outcomes in the event is 3.

• The sample space is 8.

%5.378

3

Example 2

Example 2

Try This

• Find the probability of a dart landing in region B of the dartboard.

Try This

• Find the probability of a dart landing in region B of the dartboard.

%3.339

3

3

12

area total

Aregion of area)(

2

22

AP

Example 3

Example 3

Try This

Try This

%3.333

1

30

10 %7.6

15

1

30

2

Fundamental Counting Principle

• If there are m ways that one event can occur and n ways that another event can occur, then there are m x n ways that both events can occur.

Example 4

Example 4

Example 5

Example 5

Homework

• Pages 633-634• 9-23 odd• 27-35 odd