1 / 10

# 9.1 Understanding Probability - PowerPoint PPT Presentation

9.1 Understanding Probability. Remember to Silence Your Cell Phone and Put It In Your Bag!. Defining Probability. The use of numbers to describe the chance that something will happen. The ratio of favorable occurrences to the number of total possible occurrences of an observable event.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
Download Presentation

## PowerPoint Slideshow about ' 9.1 Understanding Probability' - maire

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### 9.1 Understanding Probability

Remember to Silence Your Cell Phone and Put It In Your Bag!

• The use of numbers to describe the chance that something will happen.

• The ratio of favorable occurrences to the number of total possible occurrences of an observable event.

• For this class, unless asked to do differently, write your probabilities as simplified fractions

• Experiment

• Outcome

• Sample Space

• Equally Likely

• Uniform Sample Space

• Nonuniform Sample Space

• Event

Uniform Sample Space

Nonuniform Sample Space

Defining Probability (cont.)

• Probability, P, of an event A for a uniform sample space:

• Probability, P, of an event A for a nonuniform sample space:

Terminology (cont.)

• Random Event

• Certain Event

• Impossible Event

• Complementary Events

• Mutually Exclusive Events

• Non-mutually Exclusive Events

• 0  P(A)  1

• The sum of the probabilities of all outcomes in the sample space is 1

• P(a certain event) = 1

• P(an impossible event) = 0

• If A and B are complementary events, P(A) = 1 – P(B)

Properties of Probability (cont.)

• If A and B are mutually exclusive events, P(A or B) = P(A) + P(B)

• If A and B are non-mutually exclusive events, P(A or B) = P(A) + P(B) – P(A and B)

• Empirical Probability

• Theoretical Probability

• Law of Large Numbers

• If an experiment is repeated many times, the empirical probability of an event will approach the theoretical probability of the event occurring.