UNIT11 - Unit 11 Probability and Calculus I Discrete...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Unit 11 Probability and Calculus I Discrete Distributions Terminology: Each problem will concern an experiment , which can result in any one of a number of outcomes . The set consisting of all possible outcomes of an experiment is called the sample space, S , of the experiment. For a set, A , | A | is the number of elements in A (thes izeo f A ). Any collection of outcomes ( i.e. any subset of the sample space) will be called an event . Associated with each event is a number between 0 and 1 called its probability , which measures the likelihood of the event occuring when the experiment is performed. Theorem 12.1. If E is an event, S the sample space then the probability associated with E ,deno ted Prob ( E ) is given by ( E )= | E | | S | where | E | is the number of elements in the event and | S | is the number of elements in the sample space. Example 1. If an experiment consists of tossing a fair die, then Sample Space = { 1 , 2 , 3 , 4 , 5 , 6 } = S and | S | =6 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Some events :r o l l a n e v e n n u m b e r= { 2 , 4 , 6 } = A then | A | =3 roll an odd number = { 1 , 3 , 5 } = B then | B |
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 5

UNIT11 - Unit 11 Probability and Calculus I Discrete...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online