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

Determine the domain and range of function, Determine the domain of each of...

Determine the domain of each of the following functions.                         f( x ) = x - 4 / x 2 - 2 x -15 Solution With this problem we have to avoid division by

Engg maths, How to get assignment to solve and earn money

How to get assignment to solve and earn money

How many inches long is the bedroom, Raul's bedroom is 4 yards long. How ma...

Raul's bedroom is 4 yards long. How many inches long is the bedroom? There are 36 inches within a yard; 4 × 36 = 144 inches. There are 144 inches in 4 yards.

Math, a business is owned by three people.the first owns 1/12 of the busine...

a business is owned by three people.the first owns 1/12 of the business and the second owns 1/6 of the business. what fractional part of the business is owned by the third person

Example of developing estimation skills, There are a variety of strategies ...

There are a variety of strategies that people use for developing this ability. For instance, while adding 1821,695 and 250, a person could estimate it mentally i) by rounding of

Factoring trinomial, what is the factor of the trinomial 2x2-7x-4

what is the factor of the trinomial 2x2-7x-4

Trigonmetry, On your geometry test you have two triangles: ?ABC and ?MNO. Y...

On your geometry test you have two triangles: ?ABC and ?MNO. You are told that ?A ? ? M and that ?B ? ? N. Which statement is also true?

What is the smallest possible number 3, What is the smallest possible numbe...

What is the smallest possible number in which can be created along with four decimal places using the numbers 3, 5, 6, and 8? Place the smallest number in the largest place val

Explain what is symmetry in maths, Symmetry Definition : A line of sy...

Symmetry Definition : A line of symmetry divides a set of points into two halves, each being a reflection of the other. Each image point is also a point of the set. Defin

The normal approximation to the binomial , A certain flight arrives on time...

A certain flight arrives on time 78% of the time. Suppose 1000 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that

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