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

Find var (3x+8) where x is a random variable, If Var(x) = 4, find Var (3x+8...

If Var(x) = 4, find Var (3x+8), where X is a random variable. Var (ax+b) = a 2 Var x Var (3x+8) = 3 2 Var x = 36

Straight Line, can i known the all equations under this lesson with explana...

can i known the all equations under this lesson with explanations n examples. please..

Iti, Gm signal is better than am signal becuase

Gm signal is better than am signal becuase

Linear programming, Consider the following linear programming problem: M...

Consider the following linear programming problem: Min (12x 1 +18x 2 )             X 1 + 2x 2 ≤ 40             X 1 ≤ 50             X 1 + X 2 = 40             X

Describe the sample of exponents , Describe the Sample of Exponents ? I...

Describe the Sample of Exponents ? Imagine, for example, that you are the P.E. coach at your school, and you need to divide one of your classes into teams. Your team has 45 stu

Exercise of concrete operational stage, Which of the following statements d...

Which of the following statements do you think are true about children? Indicate with 'T' for true and for false. Give reasons for your choice. a) Most primary school children a

Prove that abc=60 degree, ABC is a right triangle right-angled at C and AC=...

ABC is a right triangle right-angled at C and AC=√3 BC. Prove that ∠ABC=60 o . Ans:    Tan B = AC/BC Tan B = √3 BC/BC Tan B =√3 ⇒ Tan B = Tan 60 ⇒ B = 60

Determining and classifying all the critical points, how do you determine ...

how do you determine and classify all the critical points of a function

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