Lesson 3 Basic Counting

# Lesson 3 Basic Counting - Probability Definitions:...

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Probability Definitions: 1.   Experiment  – any process that generates a set of data. 2. Observation  – any recording of information 3.      Sample  Space  – set of all possible outcomes of a statistical experiment. Can be described using a tree diagram or by defining the rule/statement that defines the sample points. 4.   Element  or sample point  – is a member of the sample space. 5. Event  – is a subset of a sample space. 6. Complement of an Event A with respect to S ( A’)  – is the subset of all elements of S that are not in A. 7. The intersection of two events A and B ( ) – is the event containing all elements that are common to A and B. 8. The union of two events A and B, - is the event containing all the elements that belong to A or B or both. 9. Two events A and B are mutually exclusive , or disjoint, if ; that is, A and B have no common elements. A B A B A B

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Examples 1. An experiment involves tossing a pair of dice, 1 green and 1 red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, describe the sample space: a. by listing the elements (x,y) b. by using the rule method. 2. Consider tossing a die. If A is the event of an odd number occurring , B the event of an even number occurring, and C the event of a perfect square occurring, determine: a. b. c. d. B C A C A B C '
Examples 3. Two items are randomly selected one at a time from an assembly line and classed as to whether they are superior quality(+), average quality (0), or inferior quality (-). a.

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## This note was uploaded on 07/31/2011 for the course CHEM 144 taught by Professor Medarlodejesus during the Spring '11 term at Mapúa Institute of Technology.

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Lesson 3 Basic Counting - Probability Definitions:...

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