# Mutually Exclusive Events And Independent Events

24/06/2017 0 1

Mutually Exclusive Events and Independent Events:

"Two events are said to be Mutually exclusive even "ts with respect to each other if occurrence of one excludes the occurrence of the other "

• For example : If two men, say M1 and M2  proposed the same lady W for marriage and A and B are two events defined as follows : A =" M1gets married to  W" and B="M2 gets married to W"
• Now from the example mentioned above it is quite clear that the events  A and B can not happen at the same time,i.e., occurrence of event A excludes the occurrence of event B and vice versa so we can say that the events A and B are two mutually exclusive events.
• On the other hand two events are said to be Independent Events if occurrence of one event does not affect the occurrence of the other.
• For example if a man M1 proposed to a woman W1 and a man M2 proposed to another woman W2. Now in this case if A and B are events such that A = "M1 gets married to W1" and B ="M2 gets married to W2", clearly the events A and B do not affect each other in any way. Thus here in this case the events A and B are Independent Events.
• Addition Theorem of Probabilities: If A and B are two mutually exclusiveevents, then Probability ( A ? B) = Probability (A) + Probability (B)
• It may also be written as P(A ? B) =P(A) +P(B) or P(A or B) = P(A) + P(B)

Multiplication Theorem of Probabities:

"If A and B are two independent events, then P(A ∩ B) = P(A).P(B)

or P(A and B) = P(A) . P(B) "

0 Dislike

D

Dev | 13/10/2017

Nice article.

## Other Lessons for You

Limits & Continuity
A limit is a guess of the value of a function or sequence based on the points around it. Limits best explained with a real life scenario example

Nature of Roots ( Quadratic Equation
NATURE OF ROOTS In quadratic equation ax2 + bx + c = 0, the term b2 – 4ac is called discriminant...

Pulkit | 24 May

The sacredness of Planck's Constant
Many times people ask this question: have you seen god/ghost? Or do you believe in them? And you must have seen many people answering this as: I have not seen any of them. So how can I believe it? Well,...
Preparing for Maths Exam for SAT, GRE, NDA-NA & VII to XII Standard of Any Board
First, prepare a Formulae Notebook to make Ready Reference for solving the problems. Prepare Index page, write chapter numbers and number all pages of Notebook. Write Chapterwise formulae and mention...
Summary of 10th maths CBSE (imp topic is covered)
Hello friendsJust read all those stuff and try to remind it and if you have doubts in any of them then go through the book It's beneficial: 1)real number: for finding HCF and LCM by prime factorisation.Euclid...

Deepak Kumar | 16 Apr

### Looking for Class XI-XII Tuition (PUC) ?

Find best Class XI-XII Tuition (PUC) in your locality on UrbanPro.

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you