Conditional probability: independent events, Mathematics

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

Posted Date: 9/14/2012 4:35:14 AM | Location : United States







Related Discussions:- Conditional probability: independent events, Assignment Help, Ask Question on Conditional probability: independent events, Get Answer, Expert's Help, Conditional probability: independent events Discussions

Write discussion on Conditional probability: independent events
Your posts are moderated
Related Questions
Evaluate the area of the region. a. 478 units 2 b. 578 units 2 c. 528 units 2 d. 428 units 2   b. Refer to the diagram to evaluate the area of the shaded

The sum of two integers is 36, and the difference is 6. What is the smaller of the two numbers? Let x = the ?rst integer and let y = the second integer. The equation for the su

6987+746-212*7665

The sum of three consecutive even integers is 102. What is the value of the largest consecutive integer? Three consecutive even integers are numbers in order such as 4, 6, and


Susan traveled 114 miles in 2 hours. If she remains going at the similar rate, how long will it take her to go the remaining 285 miles of her trip? There is a 1 in 6 chance of


Consider R be a relation from A to B, that is, take R A Χ B. Then Domain R = {a: a € A, (a, b) € R for any b € B} i.e. domain of R is the set of all the first components of


Utilizes the second derivative test to classify the critical points of the function,                                               h ( x ) = 3x 5 - 5x 3 + 3 Solution T