Probability (5) probability of event with finite S

Probability (5) probability of event with finite S -...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Probability of an event with a finite sample space having equally likely outcomes
Background image of page 1

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

View Full DocumentRight Arrow Icon
Example } 6 { } 5 { } 4 { } 3 { } 2 { } 1 { 6 6 6 6 6 = S Consider a fair die. What is the probability that the outcome is divisible by 3? . 6 , , 2 , 1 , 6 1 }) ({ = = i for i P Fair 1, 2, 3, 4, 5 and 6 occur equally likely
Background image of page 2
Example }) 6 ({ }) 3 ({ }) 6 , 3 ({ ) ( P P P A P + = = } 6 { } 3 { } 6 , 3 { 6 = = A Consider a fair die. What is the probability that the outcome is divisible by 3? Let A be the event that the outcome is divisible by 3 By the third axiom of a probability, 6 2 6 1 6 1 = + =
Background image of page 3

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

View Full DocumentRight Arrow Icon
Example Consider a fair die. What is the probability that the outcome is divisible by 3? If we denote the number of elements in an event B by n(B), then n(S) = 6 , n(A) = n({3,6}) = 2 , and n({i}) = 1, for i=1,2,…,6. }) 6 ({ }) 3 ({ }) 6 , 3 ({ ) ( P P P A P + = = 6 2 6 1 6 1 = + = n(A) n(S)
Background image of page 4
sample space for an experiment contains finite, say N, elements , all of which are equally likely to occur , then the probability of any event A, denoted by P(A), containing n of these N sample points is the ratio of the number of elements in A to the number of elements in S , i.e. . ) ( N
Background image of page 5

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

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/09/2010 for the course ENGLISH 1303 taught by Professor May during the Spring '10 term at HKU.

Page1 / 37

Probability (5) probability of event with finite S -...

This preview shows document pages 1 - 6. Sign up to view the full document.

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