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

probability , An engineer has 200 resistors that he keeps in one box. Resi...

An engineer has 200 resistors that he keeps in one box. Resistors are colored to help their identification, and in this box there are 30 white resistors, 50 black resistors, 80 red

Basic Stat, You have been research for your statistics class on how nervous...

You have been research for your statistics class on how nervous the American adults are in general, you have decided to use HINTS 2007 data set that has a scale (going from 0 to 24

Proof of alternating series test, Proof of Alternating Series Test With...

Proof of Alternating Series Test With no loss of generality we can assume that the series begins at n =1. If not we could change the proof below to meet the new starting place

Finish the work., six men and Eight boys can finish a piece of work in 14 d...

six men and Eight boys can finish a piece of work in 14 days while  eight men and twelve boys can do it in 10 days. Find the time taken by  1man alone and that by 1boy alone to fin

Obtain the number of significant modes, On the Assessment page for the modu...

On the Assessment page for the module Moodle site you will find five frequency response functions for the frequency range 20 to 100 Hz in the EXCEL spreadsheet "FRF_Data". These a

I want to learn mathematics, I was never really good at mathematics what is...

I was never really good at mathematics what is the best way? I am reading Math better explained but is there anything else I can do? I want to study advanced topics and get a good

Solve 4 cos(t )= 3 on[-8, Solve 4 cos(t )= 3 on[-8,10]. Solution : Here...

Solve 4 cos(t )= 3 on[-8,10]. Solution : Here the first step is identical to the problems in the previous section. First we need to isolate the cosine on one side by itself & t

What is factorial, Q. What is Factorial? A factorial is a number with a...

Q. What is Factorial? A factorial is a number with a factorial sign, !, after it. 5! is read "five factorial." 3! is read "three factorial." The factorial of a natural

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