Home › BAF (Bachelor of Accounting & Finance) › Business Statistics › Probability Topics › How is the conditional probability of A given B …
How is the conditional probability of A given B calculated?
ADivide P(A) by the value of P(B)
BDivide P(A and B) by the value of P(B)
CDivide P(A and B) by the value of P(A)
DDivide P(A or B) by the value of P(B)
Answer & Solution
Correct answer: B. Divide P(A and B) by the value of P(B)
1. Conditioning on B means working inside B alone.
2. The part of B that also lies in A is the intersection of A and B.
3. So P(A given B) is P(A and B) divided by P(B), which requires P(B) to be greater than zero.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.1 Terminology_
Related questions
An experiment whose result is not predetermined is called a:A conditional probability differs from an ordinary one because the count is divided by:On a fair six-sided die, the outcome of any one face is:A sample space can be represented by listing outcomes, by a Venn diagram, or by a:Sampling without replacement makes successive picks dependent because:Sampling with replacement means each member picked:Two events are independent when the outcome of the first:Independent and mutually exclusive are terms that: