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

Models of energy production, Find models of energy production and energy us...

Find models of energy production and energy usage from 2 different countries, each on a different continent, which predict future energy production and demands. How was data collec

Fraction, give some examples of fractions that are already reduce

give some examples of fractions that are already reduce

Alcohol Solutions, If you have 60% alcohol and wish to dilute with water to...

If you have 60% alcohol and wish to dilute with water to make 12 liters 40% alcohol, How many liters of water should you add?

Differential equations and group methods, solve the differential equation ...

solve the differential equation dy/dx=f(y)x^n+g(y)x^m by finding a one-parameter group leaving it invariant

Linear equations, Linear Equations We'll begin the solving portion of ...

Linear Equations We'll begin the solving portion of this chapter by solving linear equations. Standard form of a linear equation: A linear equation is any equation whi

What was joe's approximate raw act score, Using the same mean and standard ...

Using the same mean and standard deviation from problem 10 (mean m = 20.1 and a standard deviation s = 5.8). Joe was informed that he scored at the 68 th percentile on the ACT, wh

#title.automotive cruise control system., What are some of the interestingm...

What are some of the interestingmodern developments in cruise control systems that contrast with comparatively basic old systems

Differential equations, Find the normalized differential equation which has...

Find the normalized differential equation which has {x, xex} as its fundamental set

Proof of limit comparison test - sequences and series, Proof of Limit Compa...

Proof of Limit Comparison Test As 0  Now, as   we know that for large enough n the quotient a n /b n should be close to c and thus there must be a positive integer

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