# S.O.S. Mathematics CyberBoard

Your Resource for mathematics help on the web!
 It is currently Wed, 22 May 2013 23:40:00 UTC

 All times are UTC [ DST ]

 Page 1 of 1 [ 3 posts ]
 Print view Previous topic | Next topic
Author Message
 Post subject: probability:at least one of them occurPosted: Wed, 15 Sep 2010 21:39:53 UTC
 Senior Member

Joined: Tue, 27 May 2003 09:22:41 UTC
Posts: 88
Q:If C1,C2,C3,...,Ck are k events in he sample space C,show that the probability that at least one of the events occurs is one minus the probability that none of them occur;i.e.,
P(C1UC2UC3...UCk) = 1- P(C'1& C'2 & C'3 ... & C'k).

where U= union( of events)
& = intersection (of events)
' = means complement

Top

 Post subject: Re: probability:at least one of them occurPosted: Thu, 16 Sep 2010 04:16:08 UTC
 Moderator

Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6007
Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
Q:If C1,C2,C3,...,Ck are k events in he sample space C,show that the probability that at least one of the events occurs is one minus the probability that none of them occur;i.e.,
P(C1UC2UC3...UCk) = 1- P(C'1& C'2 & C'3 ... & C'k).

where U= union( of events)
& = intersection (of events)
' = means complement

What have you tried? Where are you stuck? Show your work!

_________________

Top

 Post subject: Posted: Thu, 16 Sep 2010 08:34:09 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Wed, 1 Oct 2003 04:45:43 UTC
Posts: 9633
Q:If C1,C2,C3,...,Ck are k events in he sample space C,show that the probability that at least one of the events occurs is one minus the probability that none of them occur;i.e.,
P(C1UC2UC3...UCk) = 1- P(C'1& C'2 & C'3 ... & C'k).

This boils down to set theory, friend:

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 3 posts ]

 All times are UTC [ DST ]

#### Who is online

Users browsing this forum: No registered users

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forum

Search for:
 Jump to:  Select a forum ------------------ High School and College Mathematics    Algebra    Geometry and Trigonometry    Calculus    Matrix Algebra    Differential Equations    Probability and Statistics    Proposed Problems Applications    Physics, Chemistry, Engineering, etc.    Computer Science    Math for Business and Economics Advanced Mathematics    Foundations    Algebra and Number Theory    Analysis and Topology    Applied Mathematics    Other Topics in Advanced Mathematics Other Topics    Administrator Announcements    Comments and Suggestions for S.O.S. Math    Posting Math Formulas with LaTeX    Miscellaneous