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

Stages of multiplication from the beginning, What is our aim when teaching ...

What is our aim when teaching children multiplication? Firstly they should be able to judge which situations they need to multiply in, and the numbers that are to be multiplied sec

Composite functions, f(x)=4x-3 and g(x)=(x+3)/4 a)Find the function fg(x) ...

f(x)=4x-3 and g(x)=(x+3)/4 a)Find the function fg(x) b)Hence describe the relationship between the functions f and g c)Write down the exact value of fg(sqrt(3))

Standard basis vectors - calculus, Standard Basis Vectors The vector th...

Standard Basis Vectors The vector that is, i = (1, 0,0) is called a standard basis vector.  In three dimensional (3D) space there are three standard basis vectors, i → = (1

Pre-algebra, How do you solve a table to get the function rule?

How do you solve a table to get the function rule?

Determining Proportionality, Assume Jim had executed 15 "Splits" before his...

Assume Jim had executed 15 "Splits" before his last split of 20 seconds. If his eventual time in the road race is 4:05, what was the average time for one of his earlier splits?

SOLUTIONS.., bunty and bubly go for jogging every morning. bunty goes aroun...

bunty and bubly go for jogging every morning. bunty goes around a square park of side 80m and bubly goes around a rectangular park with length 90m and breadth 60m.if they both take

Matrix equation , Hi may i know how to substract the (ID)colum matrix from ...

Hi may i know how to substract the (ID)colum matrix from (K)square matrix as per equation below. E = (K - ID)^-1 S K is m*m matrix I is idntity matrix d is column vector s is col

Write down the system of differential equations, Write down the system of d...

Write down the system of differential equations for mass system and the spring above. Solution To assist us out let's first take a rapid look at a situation wherein both of

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