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

Define euler circuit and euler path, Define Euler Circuit and Euler Path.  ...

Define Euler Circuit and Euler Path.  Which of the following graphs have an Euler circuit and Euler path.

Find the shortest length of wire needed, A 125-foot tower is located on the...

A 125-foot tower is located on the side of a mountain that is inclined at 32° to the horizontal. A guy wire is to be fitted to the top of the tower and anchored at a point 55 feet

The new area is 168 square inches how many inches increase, A 4-inch by 6-i...

A 4-inch by 6-inch photograph is going to be enlarged through increasing each side by the similar amount. The new area is 168 square inches. How many inches is each dimension incre

Give the proofs in mathematics, Give the Proofs in Mathematics ? 1 Two...

Give the Proofs in Mathematics ? 1 Two-column deductive proof Proof: Statements                                                              Reasons * Start with given c

Shiites muhammad''s flight from mecca to medina, The first year of the Isla...

The first year of the Islamic calendar marks the following event: The birth of Muhammad The Qu'ran is assembled into a single sacred text The division of the Sunnis and the Shiites

Limit problem, limit x-a/|x-a| equals x-a [a]a [b]0 [c]-a [d]none 0f these

limit x-a/|x-a| equals x-a [a]a [b]0 [c]-a [d]none 0f these

Find the area irrigated by this system, An irrigation system uses a straigh...

An irrigation system uses a straight 30m sprinkler pipe which is capped at one end and arranged so that all water is released directly downwards and pivots around a central point.

Proof for absolute convergence - sequences and series, Proof for Absolute C...

Proof for Absolute Convergence Very first notice that |a n | is either a n or it is - a n depending upon its sign.  The meaning of this is that we can then say, 0 a n +

Polygon on a coordinate, a square tile measures 12 inches by 12 inches each...

a square tile measures 12 inches by 12 inches each unit on a coordinate grid represents 1 inch (1,1) and (1,13) are two of the coordinate of the tile drawn on the grid what are the

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