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

Important formulas of functions , Important formulas d (a b )/ dx  = 0...

Important formulas d (a b )/ dx  = 0                              This is a constant d ( x n ) / dx = nx n -1                      Power Rule d (a x ) / dx = a x l

Prove - digraph of a partial order has no cycle more than 1, Prove that the...

Prove that the Digraph of a partial order has no cycle of length greater than 1. Assume that there exists a cycle of length n ≥ 2 in the digraph of a partial order ≤ on a set A

Evaluate limit in indeterminate form, Evaluate following limits. S...

Evaluate following limits. Solution In this case we also contain a 0/0 indeterminate form and if we were actually good at factoring we could factor the numerator & den

Estimate how much did larry spend, Larry purchased 3 pairs of pants for $24...

Larry purchased 3 pairs of pants for $24 each or have 5 shirts for $18 each. How much did Larry spend? Divide the miles through the time to find the rate; 3,060 ÷ 5 = 612 mph.

Innovation, In the innovations algorithm, show that for each n = 2, the inn...

In the innovations algorithm, show that for each n = 2, the innovation Xn - ˆXn is uncorrelated with X1, . . . , Xn-1. Conclude that Xn - ˆXn is uncorrelated with the innovations X

#title.algebra., how do i understand algebra? whats the formula i just dont...

how do i understand algebra? whats the formula i just dont get it

Determine the function notation, Given f (x) = - x 2 + 6 x -11 determine e...

Given f (x) = - x 2 + 6 x -11 determine each of the following. (a)    f ( 2) (b)   f ( -10) (c)    f (t ) Solution (a)    f ( 2) = - ( 2) 2   + 6(2) -11 = -3 (

Operation research, details about criticl part time & pert method

details about criticl part time & pert method

How much did sally earn if she worked 48 hours, Sally gets paid x dollars p...

Sally gets paid x dollars per hour for a 40-hour work week and y dollars for every hour she works over 40 hours. How much did Sally earn if she worked 48 hours? Since she worke

Volumes of solids of revolution -method of cylinders, Volumes of Solids of ...

Volumes of Solids of Revolution / Method of Cylinders In the previous section we started looking at determine volumes of solids of revolution.  In this section we took cross se

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