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

Assisnment, How a student of mathematics of b.sc can make an assignment on...

How a student of mathematics of b.sc can make an assignment on topic of asymptotes?

Learning, my math skills are keeping me from getting my ged need help in al...

my math skills are keeping me from getting my ged need help in all areas

Find poq of tangents drawn to the circle, In figure, O is the centre of th...

In figure, O is the centre of the Circle .AP and AQ two tangents drawn to the circle. B is a point on the tangent QA and ∠ PAB = 125 ° , Find ∠ POQ. (Ans: 125 o ) An s:

Parabola, please i need the answers to x^_7x+10 i want the vertex,axis of s...

please i need the answers to x^_7x+10 i want the vertex,axis of semetery,y intersect and the x intercept

Logarithm functions, Logarithm Functions : In this section we'll discuss l...

Logarithm Functions : In this section we'll discuss look at a function which is related to the exponential functions we will learn logarithms in this section. Logarithms are one o

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

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

Find ways in which prizes are distributed between student, Find out the num...

Find out the number of ways in which 5 prizes can be distributed among 5 students such that  (a)   Each student may get a prize. (b)  There is no restriction to the number o

Assignment help, How do get help with my work? should i just type it in thi...

How do get help with my work? should i just type it in this box...? sorry thanks!

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