Mutually exclusive events, Mathematics

Assignment Help:

Mutually Exclusive Events

A set of events is said to be mutually exclusive if the occurrence of any one of the events precludes the occurrence of any of the other events for illustration, when tossing a coin, the events are a head or a tail these are said to be mutually exclusive because the occurrence of heads for instance implies that tails cannot and has not happened.

This can be represented in venn diagram as given below:

631_Mutually exclusive events 1.png

E1 ∩ E2 = Ø

1288_Mutually exclusive events 2.png

E1 ∩ E2 ≠ Ø

Non-mutually exclusive events (independent events)

Consider a survey whether a random sample of registered voters is selected.  For every voter selected their sex and political party affiliation are noted. The events "KANU" and "woman" are not equally exclusive since the selection of KANU does not preclude the possibly that the voter is also a woman.

Independent Events

Events are said to be independent when the occurrence of any type of the events does not affect the occurrence of the other(s).For illustration the outcome of tossing a coin is independent of the outcome of the preceding or succeeding toss.


Related Discussions:- Mutually exclusive events

Find the number of students in the class, Students are made to stand in row...

Students are made to stand in rows. If one student is extra in a row there would be 2 rows less. If one student is less in a row there would be 3 rows more. Find the number of stud

Bcubi bui, hellow my name is isa soo what is your name?? i love the name ex...

hellow my name is isa soo what is your name?? i love the name experts mind so what is 8000+98800+600+935=what i do not know so can you tell me thank you oh thir is another one wha

Rational, how can you identify if a certain number is rational or irrationa...

how can you identify if a certain number is rational or irrational?

Find the lesser of two consecutive positive even integers, Find the lesser ...

Find the lesser of two consecutive positive even integers whose product is 168. Let x = the lesser even integer and let x + 2 = the greater even integer. Because product is a k

Word problem, a recipe good for 4 servings require 1/8 tsp. black pepper an...

a recipe good for 4 servings require 1/8 tsp. black pepper and 1/2 tsp. of salt. how much black pepper and how much salt needed for 2 servings?

What is the volume of the water required to fill the pool, A circular pool ...

A circular pool is filling along with water. Supposing the water level will be 4 ft deep and the diameter is 20 ft, what is the volume of the water required to fill the pool? (π =

Calculate moving average, Calculate Moving Average The table given bel...

Calculate Moving Average The table given below represents company sales; calculate 3 and 6 monthly moving averages, for data Months Sales

3-d geometry, Q) In 3D-geometry give + and - signs for x,y,z, in all eight ...

Q) In 3D-geometry give + and - signs for x,y,z, in all eight octants Ans) There is no specific hard rule for numbering the octants. So, it makes no real sense to ask which octan

Proof for absolute convergence - sequences and series, Proof for Absolute C...

Proof for Absolute Convergence Very first notice that |a n | is either a n or it is - a n depending upon its sign.  The meaning of this is that we can then say, 0 a n +

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd