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

Melisa and jennifer threw a fiftieth how much is a 20% tip, Melisa and Jenn...

Melisa and Jennifer threw a fiftieth birthday party for their father at a local restaurant. While the bill came, Melisa added a 15% tip of $42. Jennifer said in which the service w

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

Multiplicative rule - rules of probability, Multiplicative Rule - Rules of ...

Multiplicative Rule - Rules of Probability It is used when there is a string of independent events for that individual probability is known and it is essential to know the ove

Briefly explain markov chains, Question 1 An experiment succeeds twice as ...

Question 1 An experiment succeeds twice as often as it fails. Find the chance that in the next six trials there will be at least four successes Question 2 An insurance compan

Solving equations, darien agrees to sponsor her sister $8 plus $1 for every...

darien agrees to sponsor her sister $8 plus $1 for every mile she walks.Write an expression to show her total money

Geometria, un prisma retto ha per base un rombo avente una diagonale lunga ...

un prisma retto ha per base un rombo avente una diagonale lunga 24cm. sapendo che la superficie laterale e quella totale misurano rispettivamente 2800cm e3568cm ,calcola la misura

Sequence, how to find the indicated term?

how to find the indicated term?

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