Marginal probability, Mathematics

Assignment Help:

Marginal Probability

Probability of event A happening, denoted by P(A), is called single probability, marginal or unconditional probability.

Marginal or Unconditional Probability is defined as the ratio of number of possible outcomes favorable to the event A to the total number of possible outcomes.

P(A) 

= 1428_marginal probability.png

The definition assumes that the elements of the sample space have an equally likely chance of occurring.

Example 

A gambler places a bet on numbers 14 through 25. There are 12 equally likely winning outcomes. The roulette wheel (a gambling instrument which can display any one of 38 equally likely numbers as the winning number) contains 38 equally likely outcomes.

The probability of the wheel stopping on a number from 14 through 25 (say event A) = 12/38 = 0.316.

The probability of losing, i.e. the wheel stopping on numbers other than 14 through 25 (say event B) is the probability of the complement of A occurring. The complement of an event A is defined as  A' , where  A' represents the non-occurrence of event A. So, the probability of  A'  (B) = 26/38 = 0.684.

P (A') = P(B) = 1 - P(A) because A and  A'  are the only possible events and they are mutually exclusive events of the sample of 38 equally likely outcomes. Thus, P(A) + P (A') = 1 and P(A and  A' ) is 0.


Related Discussions:- Marginal probability

Method of disks or the method of rings, Method of disks or the method of ri...

Method of disks or the method of rings One of the simple methods for getting the cross-sectional area is to cut the object perpendicular to the axis of rotation.  Carrying out

How to change improper fractions to mixed/ proper fractions, how do you cha...

how do you change an improper fraction to a mixed number or whole or proper

Classify linear or nonlinear, Question: Classify the following differen...

Question: Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations? Xy'-2y =x Xy'' -2y' =xsin(y)

One of these food groups, In a collection of 30 dissimilar birds, 15 eat wo...

In a collection of 30 dissimilar birds, 15 eat worms, 18 eat fruit, and 12 eat seeds. Accurately 8 eat worms and seeds, 8 eat worms and fruit, 7 eat fruit and seeds, and 4 eat each

Conditional probability: dependent events, We can define the conditional pr...

We can define the conditional probability of event A, given that event B occurred when both A and B are dependent events, as the ratio of the number of elements common in both A an

Describe three ways to write negative fractions, Describe Three Ways to Wri...

Describe Three Ways to Write Negative Fractions? There are three different ways that a negative fraction can be written. They are all represent the same value. 1. The negative

Math 100, introduction to decimals

introduction to decimals

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