Conditional probability: independent events, Mathematics

Assignment Help:

Conditional Probability: Independent Events

If the probability of an event is subject to a restriction on the sample space, the probability is said to be conditional. Conditional probability is the probability of the occurrence of an event, say A, subject to the occurrence of a previous event, say B. We define the conditional probability of event A, given that B has occurred, in case of A and B being independent events, as the probability of event A.

                P(A|B) = P(A)

It is so because independent events are those whose probabilities are in no way affected by the occurrence of each other. 

Example

Let us take the same true-false test. As the success answers are independent of each other we can say that the probability of success of the second answer given that the first answer is a success is simply the probability of the success of the second answer, i.e.

P(S2|S1) = P(S2) = 0.5


Related Discussions:- Conditional probability: independent events

Which number falls among 5.56 and 5.81, Which number falls among 5.56 and 5...

Which number falls among 5.56 and 5.81? If you add a zero to the end of 5.6 to get 5.60, it is simpler to see that 5.56

Geometry help, One of two complementary angles is 80& of the other. What is...

One of two complementary angles is 80& of the other. What is the degree measure of the smaller angle?

Exponential smoothing, Exponential smoothing It is a weighted moving a...

Exponential smoothing It is a weighted moving average technique, this is described by: New forecast = Old forecast + a (Latest Observation - Old forecast) Whereas a = Sm

Circle, Circle Well, let's recall just what a circle is. A circle is al...

Circle Well, let's recall just what a circle is. A circle is all the points which are the similar distance, r - called the radius, from a point, ( h, k ) - called the center. I

Java program for sorting algorithms, Introduction: In this project, yo...

Introduction: In this project, you will explore a few sorting algorithms. You will also test their efficiency by both timing how long a given sorting operation takes and count

Multiply the polynomials, Multiply following. (a) (4x 2 -x)(6-3x) (b)...

Multiply following. (a) (4x 2 -x)(6-3x) (b) (2x+6) 2 Solution  (a) (4x 2 - x )(6 - 3x ) Again we will only FOIL this one out. (4x 2  - x )(6 - 3x) = 24x 2 -

Example of multiplication of matrix, Given So calculate AB. Sol...

Given So calculate AB. Solution The new matrix will contain size 2 x 4. The entry in row 1 and column 1 of the new matrix will be determined by multiplying row 1 of

Circumcircle problem, find the radius of circumcircle of an equilateral tri...

find the radius of circumcircle of an equilateral triangle of 6root3 one side.

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