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

How much did he have in savings at the starting, Bill spent 50% of his savi...

Bill spent 50% of his savings on school supplies, and then he spent 50% of what was left on lunch. If he had $6 left after lunch, how much did he have in savings at the starting?

Denote the statement in predicate calculus, Denote the subsequent statement...

Denote the subsequent statement in predicate calculus: "Everybody respects all the selfless leaders". Ans: For each X, if every Y that is a person respects X, then X is a selfl

The sum of their ages is 104 how old is shari, Sam's age is 1 less than dou...

Sam's age is 1 less than double Shari's age. The sum of their ages is 104. How old is Shari? Let x = Shari's age and let y = Sam's age. Because Sam's age is 1 less than twice S

Evaluate the volume of cylinder, If the diameter of a right cylinder is dou...

If the diameter of a right cylinder is doubled and the height is tripled, its volume is a. multiplied by 12. b. multiplied by 2. c. multiplied by 6 d. multiplied by 3.

Illustrate Ionic solids, Ionic solids, which have anionic vacancies because...

Ionic solids, which have anionic vacancies because of metal excess defect develop colour. Illustrate with the help of a suitable example.

If there are 75 students in the play how many are boys, 64% of the students...

64% of the students within the school play are boys. If there are 75 students in the play, how many are boys? To ?nd out 64% of 75, multiply 75 by the decimal equivalent of 64%

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