What are inclusive events, Mathematics

Assignment Help:

Q. What are Inclusive Events?

Ans.

Events that can occur at the same time are called inclusive events. For example, a student can belong to more than one club at one time. Events A and B are inclusive if their intersection is not empty, 1098_What are Inclusive Events1.gif. Here is a Venn diagram showing inclusive events A and B:

554_What are Inclusive Events.gif

Property: If A and B are inclusive, then P(A or B) = P(A) + P(B) or P(A and 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. This property can be written 200_What are Inclusive Events2.gif.

Proof: Using the definition for probability, we have:

1857_What are Inclusive Events3.png

Since A and B are inclusive, we mustn't count the elements in both sets more than once.


Related Discussions:- What are inclusive events

Methods for doing integral, There are really three various methods for doin...

There are really three various methods for doing such integral. Method 1: This method uses a trig formula as,  ∫sin(x) cos(x) dx = ½ ∫sin(2x) dx = -(1/4) cos(2x) + c

Change of base of logarithms, Change of base: The final topic that we have...

Change of base: The final topic that we have to look at in this section is the change of base formula for logarithms. The change of base formula is,

Which of the subsequent represents the cost y of phone call, A telephone co...

A telephone company charges $.35 for the first minute of a phone call and $.15 for each additional minute of the call. Which of the subsequent represents the cost y of a phone call

What is the ratio of the areas of sectors , What is the ratio of the areas ...

What is the ratio of the areas of sectors I and II ?                               (Ans:4:5) Ans:    Ratio will be 120/360  Π r 2 : 150/360  Π r 2 4/12  : 5/12  =

Progressions, The sum of the series 1+1/2+1/4,..is

The sum of the series 1+1/2+1/4,..is

Mod(z-25i)<15, Mod(Z-25i)   Sol) mod (Z-25i) means Z lies in the circumfer...

Mod(Z-25i)   Sol) mod (Z-25i) means Z lies in the circumference of the circle with (0,25) at its centre and radius less then 15. so difference in the max and min value of arg Z is

Mensuration, if area of a rectangle is 27 sqmtr and it perimeter is 24 m fi...

if area of a rectangle is 27 sqmtr and it perimeter is 24 m find the length and breath#

Union operations using union by weight, Show the result of the following se...

Show the result of the following sequence of UNION operations using union-by-weight with the following assumptions Unions are performed on the representatives on the sets th

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