What is conditional probability, Mathematics

Assignment Help:

Q. What is Conditional Probability?

Ans.

What is the probability that George will pass his math test if he studies? We can assume that the probabilities of George passing his test and George studying are dependent events. The probability of George passing his test depends on whether or not he studied for it.

2273_What is Conditional Probability.gif

Conditional probability is the probability that B will occur given that A has occurred. It is denoted by P(B | A).

The conditional probability of event B given event A, P(B | A), is given by

If events A and B are independent, then what is P(A | B)? Since the probability of event B occurring is not dependent on event A, P(A | B) = P(A). Our definition of independent events can be written more formally now.

Two events A and B are independent events if P(A | B) = P(A) or if P(B | A) = P(B).


Related Discussions:- What is conditional probability

Potency of a drug , An experiment designed to test the potency of a drug on...

An experiment designed to test the potency of a drug on 20 rats. Last animal studies have shown that a 10 mg dose of the drug is lethal 5% of the time within the first 4 hours; of

Matrix of r, Let R be the relation on S = {1, 2, 3, 4, 5} defined by R =...

Let R be the relation on S = {1, 2, 3, 4, 5} defined by R = {(1,3); (1, 1); (3, 1); (1, 2); (3, 3); (4, 4)}. (b) Write down the matrix of R. (c) Draw the digraph of R.

Sqares, Recently I had an insight regarding the difference between squares ...

Recently I had an insight regarding the difference between squares of sequential whole numbers and the sum of those two whole numbers. I quickly realized the following: x + (x+1)

Simplification, 4.4238/[1.047+{1.111*[9.261/7.777]}*1.01

4.4238/[1.047+{1.111*[9.261/7.777]}*1.01

Prove that ad x af=ae x ab, ABCD is a rectangle. Δ ADE and Δ ABF are two tr...

ABCD is a rectangle. Δ ADE and Δ ABF are two triangles such that ∠E=∠F as shown in the figure. Prove that AD x AF=AE x AB. Ans:    Consider Δ ADE and Δ ABF ∠D = ∠B

Estimate whose time was the fastest, Nancy, Jennifer, Alex, and Joy ran a r...

Nancy, Jennifer, Alex, and Joy ran a race. Nancy's time was 50.24 seconds, Jennifer's was 50.32, Alex's was 50.9, and Joy's was 50.2. Whose time was the fastest? The fastest ti

Integers, hi i would like to ask you what is the answer for [-9]=[=5] grade...

hi i would like to ask you what is the answer for [-9]=[=5] grade 7

Combinations, Now we take up combinations and its related concepts. C...

Now we take up combinations and its related concepts. Combinations are defined as each of the groups or selections which can be made by taking some or all of 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