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

Statistics, do we calculate midpoints from classes or from class boundaries...

do we calculate midpoints from classes or from class boundaries

Variation of parameters, In the previous section we looked at the method of...

In the previous section we looked at the method of undetermined coefficients for getting a particular solution to p (t) y′′ + q (t) y′ + r (t) y = g (t)    .....................

Fractions, you need to cut the proper to cut 2''*4*8 long studs to the prop...

you need to cut the proper to cut 2''*4*8 long studs to the proper length to make a finished wall 8" in height underneath the studs there will be a double plate made up of two piec

Percents, write as a percent 6/10

write as a percent 6/10

Trigonometry, if tan theta =1,find the value of sin4 theta + cos4 theta

if tan theta =1,find the value of sin4 theta + cos4 theta

Homework, joey asked 30 randomly selected students if they drank milk, juic...

joey asked 30 randomly selected students if they drank milk, juice, or bottled water with their lunch. He found that 9 drank milk, 16 drank juice, and 5 drank bottled water. If the

Area of a parallelogram x what is the height in terms of x, The area of a p...

The area of a parallelogram is x 8 . If the base is x 4 , what is the height in terms of x? Since the area of a parallelogram is A = base times height, then the area divided by

Difference between absolute and relative in the definition, Difference betw...

Difference between absolute and relative in the definition Now, let's talk a little bit regarding the subtle difference among the absolute & relative in the definition above.

Allied mathematics, The tenth term in the binomial expansion of (1-1/4)(1-1...

The tenth term in the binomial expansion of (1-1/4)(1-1/5)(1-1/6)...(1-1/n+3) is equal to

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