Mutually exclusive events, Mathematics

Mutually Exclusive Events

A set of events is said to be mutually exclusive if the occurrence of any one of the events precludes the occurrence of any of the other events for illustration, when tossing a coin, the events are a head or a tail these are said to be mutually exclusive because the occurrence of heads for instance implies that tails cannot and has not happened.

This can be represented in venn diagram as given below:

631_Mutually exclusive events 1.png

E1 ∩ E2 = Ø

1288_Mutually exclusive events 2.png

E1 ∩ E2 ≠ Ø

Non-mutually exclusive events (independent events)

Consider a survey whether a random sample of registered voters is selected.  For every voter selected their sex and political party affiliation are noted. The events "KANU" and "woman" are not equally exclusive since the selection of KANU does not preclude the possibly that the voter is also a woman.

Independent Events

Events are said to be independent when the occurrence of any type of the events does not affect the occurrence of the other(s).For illustration the outcome of tossing a coin is independent of the outcome of the preceding or succeeding toss.

Posted Date: 2/18/2013 7:03:53 AM | Location : United States

Related Discussions:- Mutually exclusive events, Assignment Help, Ask Question on Mutually exclusive events, Get Answer, Expert's Help, Mutually exclusive events Discussions

Write discussion on Mutually exclusive events
Your posts are moderated
Related Questions
write the equation of parabola of vertex(2,-3)and focus(_1,1)

find the diameter of circle whose circumference is 26.51

Find out the hydrostatic force on the following triangular plate that is submerged in water as displayed. Solution The first thing to do here is set up an axis system

Andy earned the subsequent grades on his four math quizzes: 97, 78, 84, and 86. What is the average of his four quiz grades? To ?nd out the average, you must add the items (97

jamal works every morning in his garden. yesterday he worked 3 AND 3-4HOURS. HE SPENT 1-3 OF THE TIME PULLING WEEDS. HOW MANY HOURS DID JAMAL SPEND PULLING WEEDS?

A man arranges to pay a debt of Rs.3600 in 40 monthly instalments which are in a AP. When 30 instalments are paid he dies leaving one third of the debt unpaid. Find the value of th

Find the Laplace transforms of the specified functions. (a)   f(t) = 6e 5t + e t3 - 9 (b)   g(t) = 4cos(4t) - 9sin(4t) + 2cos(10t) (c)    h(t) = 3sinh(2t) + 3sin(2t)

How did the teacher get 30 + 12 + 1.5 for the equation of volume of rectangular prism measuring L=14.4, W= 3, and H= 5? Formula given was V= Bh. My answer was x 3.

A partially loaded passenger car has a mass of 1600 kg.  It has fully independent suspension in which each front spring has a stiffness of 19.0 kNm -1 and each rear spring has a s