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

Wit tester., two fathers and two sons went fishing . they caught only 3 fis...

two fathers and two sons went fishing . they caught only 3 fish and divided them equally among themselves without cutting. is it possible? how?

Calculate the gains from trade, Table shows the productivity for the countr...

Table shows the productivity for the countries Pin and Pang. 1) If the working population of Pin and Pang are both 6 million, divided equally between the two industries in

The definite integral- area under a curve, The Definite Integ...

The Definite Integral Area under a Curve If there exists an irregularly shaped curve, y = f(x) then there is no formula to find out

Simple interest, find the simple interest on Rs. 68,000 at 50/3 per annum f...

find the simple interest on Rs. 68,000 at 50/3 per annum for 9 month

Recursively, Let a 0 , a 1 ::: be the series recursively defined by a 0 =...

Let a 0 , a 1 ::: be the series recursively defined by a 0 = 1, and an = 3 + a n-1 for n ≥ 1. (a) Compute a 1 , a 2 , a 3 and a 4 . (b) Compute a formula for an, n ≥ 0.

Evaluate following limits at infinity, Evaluate following limits. ...

Evaluate following limits. Solution In this part what we have to note (using Fact 2 above) is that in the limit the exponent of the exponential does this, Henc

Harmonic progression (h.p.), Three quantities a, b and c are said to ...

Three quantities a, b and c are said to be in harmonic progression if, In this case we observe that we have to consider three terms in o

Unit normal vector - three dimensional space, Unit Normal Vector - Three Di...

Unit Normal Vector - Three Dimensional Space The unit normal vector is illustrated to be, N (t) = → T' (t) / (|| T → ' (t)||) The unit normal is orthogonal or normal or

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