Conditional Probability

Question 1

When does conditional probability occur ?

Answer 1

It occurs when an event will happen only if an associated event happens

Question 2

Formula for conditional probability

Answer 2

P(A/B)=P(AnB)/P(B)

P(B/A)=P(AnB)/P(A)

Question 3

An event is…
A trial is…
A sample is…

Answer 3

An event is a set of outcomes to certain quantities in a common experiment
A sample is a statistical mean of generating data outcome and possible result of an experiment
A trial is just one act practiced in a series

Question 4

Bayes theorem

Answer 4

Bayes Theorem is a useful relationship derived from conditional probability and the multiplicative rule
Formula: P(Ei/A)= P(A/Ei).P(Ei) /P(A/Ei)(Ei)+P(A/Eii)P(Eii)+P(A/Eiii)(Eiii)