Mutually exclusive events, Mathematics

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.

Posted Date: 2/18/2013 7:03:53 AM | Location : United States







Related Discussions:- Mutually exclusive events, Assignment Help, Ask Question on Mutually exclusive events, Get Answer, Expert's Help, Mutually exclusive events Discussions

Write discussion on Mutually exclusive events
Your posts are moderated
Related Questions
Solve cos( 4 θ ) = -1 . Solution There actually isn't too much to do along with this problem.  However, it is different from all the others done to this point.  All the oth

PROBLEMS WITH APPLYING ALGORITHMS :  From your experience, you would agree that children are expected to mechanically apply the algorithms for adding or subtracting numbers, regar

The Lognormal Distribution If ln(X) is a normally distributed random variable, then X is said to be a lognormal variable. If P1, P2, P3, ... are the prices of a scrip in per

Determination of the Regression Equation The determination of the regression equation such given above is generally done by using a technique termed as "the method of least sq

Distribution of Sample distribution or Sampling means A sample of size n is taken from the parent population and mean of the sample is estimated. It is repeated for a number o

Alternating Series Test - Sequences and Series The final two tests that we looked at for series convergence has needed that all the terms in the series be positive.  Actually t

how management making future decition by using duality

(a) Determine the matrix that first rotates a two-dimensional vector 180° anticlockwise, and then per- forms a horizontal compression of the resulting vector by a factor 1/2 (leavi

convert the equation 4x^2+4y^2-4x-12y+1=0 to standard form and determine the center and radius of the circle. sketch the graph.

finite or infinite 1]A={4,5,6,....}