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

Multistage sampling, Multistage sampling Multistage sampling is similar...

Multistage sampling Multistage sampling is similar to stratified sampling except division is done on geographical/location basis, for illustration a country can be divided into

Sas, can you tell me how to find the "x" and the "y" when trying to find if...

can you tell me how to find the "x" and the "y" when trying to find if two triangles are smiliar

Matrix, cramers rule introduction

cramers rule introduction

Rational exponents, Now we have to start looking at more complicated expone...

Now we have to start looking at more complicated exponents. In this section we are going to be evaluating rational exponents. i.e. exponents in the form

Probability, One coin is tossed thrice. what will be the probability of get...

One coin is tossed thrice. what will be the probability of getting neither 3 heads nor 3 tails

Solve the recurrence relation, Solve the recurrence relation T ...

Solve the recurrence relation T (K) = 2T (K-1), T (0) = 1 Ans: The following equation can be written in the subsequent form:  t n - 2t n-1 =  0  Here now su

Find out function is increasing and decreasing, Find out where the followin...

Find out where the following function is increasing & decreasing. A (t ) = 27t 5 - 45t 4 -130t 3 + 150 Solution As with the first problem first we need to take the

If 0.3 is added to 0.2 times the quantity x - 3, If 0.3 is added to 0.2 tim...

If 0.3 is added to 0.2 times the quantity x - 3, the result is 2.5. What is the value of x? The statement, "If 0.3 is added to 0.2 times the quantity x - 3, the result is 2.5,

Determine the size of the proposed repayments, Five years ago a business bo...

Five years ago a business borrowed $100,000 agreeing to repay the principal and all accumulated interest at 8% pa compounded quarterly, 8 years from the loan date. Two years after

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