8-1: The Counting Principle English Casbarro Unit 8.

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Presentation transcript:

8-1: The Counting Principle English Casbarro Unit 8

Vocabulary An outcome is the result of a single trial. The set of all possible outcomes is a sample space. A finite sample space has a countable number of outcomes and an infinite sample space has uncountable outcomes. An event consists of one or more outcomes of a trial. A factorial is defined as n! = n(n – 1)(n – 2)… 3(2)(1) for all positive integers. [0! = 1]

Independent events are events in which the outcomes of each do not affect one another- ex. Drawing a card and rolling a die Dependent events are events in which the outcome of one affects the outcome of another event- ex. Drawing a card without replacement and then drawing another. Independent Events and Dependent Events

Ex. A baseball team plays several games in one week. Their uniforms are designed to be able to be worn in any combination. There are 3 pants and 2 shirts available to wear. How many different uniforms are there?

These examples lead you to the Fundamental counting Principle

Turn in the following problems 1.An internet code consists of one digit followed by one letter. The number 0 and the letter O are excluded. How many codes are possible? 2. A “make your own” adventure story has 6 starting points, gives 4 plot choices, and then 5 possible endings, How many stories are possible? 3. A password is 4 letters followed by 1 digit. Uppercase letters and lowercase letters may be used and are considered to be different letters. How many passwords are possible?