Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

If A and B are two independent random variables, is P(A|B)<P(A)?

1 Answer

Oct 25, 2015

For independent variables #A# and #B# #P(A//B)=P(A)#

Explanation:

If variables #A# and #B# are independent, then

#P(AnnB)=P(A)*P(B)#.

According to definition of #P(A//B)#

#P(A//B)=(P(AnnB))/(P(B))#.

So:

#P(A//B)=(P(A)*P(B))/(P(B))#

So finally #P(A//B)=P(A)#

Related questions

The probability that you are late to school is 0.05 for any day. Given that you slept late, the...
What is the meaning of conditional probability?
A card is drawn from a standard deck. A second card is drawn, without replacing the first card....
A card is drawn from a standard deck. A second card is drawn, without replacing the first card....
A card is drawn from a standard deck, its color is noted, and then it is replaced in the deck....
How does the General Multiplication rule differ from the Special Multiplication Rule of Probability?
How is Bayes' Theorem used to solve complex probability questions?
If the letters of the word Mississippi are placed in a hat, what is the probability that the...
In a two-child family, if one child is a boy, what is the probability that the other child is a...
In a two child family, if one child is a boy, what is the probability that the other child is a...

See all questions in Conditional Probability

Impact of this question

2403 views around the world

You can reuse this answer
Creative Commons License