Addition rule - probability rule, Mathematics

Assignment Help:

The Addition Rule: Mutually Exclusive Events

P(A or B or C) = P(A) + P(B) + P(C)

This can be represented by the Venn diagram as follows:  

Figure 1

776_addition rule.png

Addition Rule

If two events are not mutually exclusive the probability of one of them occurring is the sum of the marginal probabilities of the events minus the joint probability of the occurrence of the events.

P(A or B) = P(A) + P(B) - P(A and B) 

where A and B are not mutually exclusive events. A venn diagram illustrating the above is

Figure 2

2190_addition rule1.png


Related Discussions:- Addition rule - probability rule

Prove that the height of the cloud , HE IGHTS AND DISTANCES If the ...

HE IGHTS AND DISTANCES If the angle of elevation of cloud from a point 'h' meters above a lake is α and the angle of depression of its reflection in the lake is  β , prove

How to simplifying square roots, How to Simplifying Square Roots ? To ...

How to Simplifying Square Roots ? To simplify square roots, 1. Factor the radicand into primes. 2. Circle each pair of like numbers. 3. For each pair of like numbers, place

Find the third vertex of equilateral triangle, If two vertices of an equila...

If two vertices of an equilateral triangle are (0, 0) and (3, 0), find the third vertex. [Ans: 3/2 , 3/√ 3/2  or 3/2, -3√ 3/2] Ans:    OA = OB = AB OA 2 = OB 2 = AB 2

Partitioning -types of word problems related to subtraction, Partitioning ...

Partitioning - an action of taking away or removing some objects, and finding out how many remain. (e.g., there were 15 toffees in this container, and 10 have been eaten. How many

What is the percent of increase heating oil, The price of heating oil rose ...

The price of heating oil rose from $1.10 per gallon to $1.43 per gallon. What is the percent of increase? The price of heating oil rose $0.33 ($1.43 - $1.10 = $0.33). To ?nd ou

Solve simultaneous equations by graphical method, Solve the following pairs...

Solve the following pairs of simultaneous equations by elimination method i.2x+y=10 ii. 3x+y=6 3x-2y=1 5x+y=8 solve the following simult

Formulas, how many formulas there for the (a-b)2

how many formulas there for the (a-b)2

People fit, How many people ca fi in a small cars without seats?

How many people ca fi in a small cars without seats?

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