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

Determine the properties and query are definable in datalog, We now focus o...

We now focus on the use of Datalog for defining properties and queries m graphs. (a) Suppose that P is some property of graphs definable in Datalog. Show drat P is preserved und

Sketch several trajectories for the system, Sketch several trajectories for...

Sketch several trajectories for the system, x 1 ' = x 1 + 2x 2                                                                                x 2 ' = 3x 1 + 2x 2

Population problem - nonhomogeneous systems, The next kind of problem seems...

The next kind of problem seems as the population problem. Back in the first order modeling section we looked at several population problems. In such problems we noticed a single po

Definition of natural exponential function, Definition of Natural exponenti...

Definition of Natural exponential function:   The natural exponential function is f( x ) = e x   where, e= 2.71828182845905........ . Hence, since e > 1 we also know that e x

How many walkers got a ride school from their parents today, In Daniel's fi...

In Daniel's fifth grade class, 37.5% of the 24 students walk to school. One third of the walkers got a ride to school presently from their parents. How many walkers got a ride to s

Multiplication example, Example  Multiply 3x 5 + 4x 3 + 2x - 1 ...

Example  Multiply 3x 5 + 4x 3 + 2x - 1 and x 4 + 2x 2 + 4. The product is given by 3x 5 . (x 4 + 2x 2 + 4) + 4x 3 . (x 4 + 2x 2 + 4) + 2x .

Rounding whole numbers, Rounding whole numbers List the order in which ...

Rounding whole numbers List the order in which nancy, amy, ethel and cindy line up in single file to board the school bus. Then match the girls with their heights, which are fo

What is the purpose of the reparameterisation, We have independent observat...

We have independent observations Xi, for i = 1, . . . , n, from a mixture of m Poisson distributions with component probabilities d c and rates l c, for c = 1, . . . ,m. We decid

Ellipse, How we find locus of the middle points of chord of an ellipse whic...

How we find locus of the middle points of chord of an ellipse which are drawn through the positive end of the minor axes

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