What are mutually exclusive events, Mathematics

Assignment Help:

Q. What are Mutually Exclusive events?

Mutually Exclusive

Events are mutually exclusive if they cannot occur at the same time. For example, if you roll one die, you cannot roll both 1 and 2. Events A and B are mutually exclusive if their intersection is empty,225_Mutually Exclusive.gif. This means that they do not share any common elements. Mutually exclusive events can be shown with a Venn diagram:

913_Mutually Exclusive1.gif

Property: If A and B are mutually exclusive, then P(A or B) = P(A) + P(B). In words, this means that the probability of A OR B occurring is equal to the probability of A occurring plus the probability of B occurring.

Proof: Using the previous definition for probability, we have:

437_What are mutually exclusive events.png

Since A and B are mutually exclusive, there is no element in A and in B.


Related Discussions:- What are mutually exclusive events

Descrbe about arithmetic and geometric sequences, Descrbe about Arithmetic ...

Descrbe about Arithmetic and Geometric Sequences? When numbers are listed according to a particular pattern, we call the list a sequence. In a sequence, the numbers are separat

Graphs, the value of y for which x=-1.5

the value of y for which x=-1.5

Fenrir chain, Fenrir the wolf is bound by a magical chain. The chain is an ...

Fenrir the wolf is bound by a magical chain. The chain is an endless piece madr up of 30 links.Originally forged by 6 pieces , each made up of 5 links. It costs 2 silver coins to c

Calculate values of the derivative, First, see that the right hand side of ...

First, see that the right hand side of equation (2) is a polynomial and thus continuous. This implies that this can only change sign if this firstly goes by zero. Therefore, if the

Solving equations by completing the square method, I need help for Solving ...

I need help for Solving Equations by Completing the Square Method, can anybody help me out for this?

Trignometry, Prove that cosec2theta+ sec2theta can never be less than 2

Prove that cosec2theta+ sec2theta can never be less than 2

Pre-calculas, find the polar coordinates of each point with the given recta...

find the polar coordinates of each point with the given rectangular coordinates. (-(squareroot(3)),3

Viscosity measure, get the viscosity of particle to apply the stoke''s law

get the viscosity of particle to apply the stoke''s law

The paperwork to purchase your new home, You recently started the paperwork...

You recently started the paperwork to purchase your new home, and you were just notified that you can move into the house in two weeks. You decide to hire a moving company, but are

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