Category: 07. Probability Theory

Theorem: If A and B are two dependent events then the probability of occurrence of A given that B has already occurred and is denoted by P(A/B) is given by Similarly, the probability of occurrence of B given that A has already occurred is given by Proof: Let S be the sample space.Then, we have Interchange A…

Theorem: If A and B are two independent events, then the probability that both will occur is equal to the product of their individual probabilities.           P(A∩B)=P(A)xP(B) Proof: Let event          A can happen is n1ways of which p are successful          B can happen is n2ways of…

Theorem1: If A and B are two mutually exclusive events, then                   P(A ∪B)=P(A)+P(B) Proof: Let the n=total number of exhaustive cases                      n1= number of cases favorable to A.                      n2=…

The word ‘Probability’ means the chance of occurring of a particular event. It is generally possible to predict the future of an event quantitatively with a certain probability of being correct. The probability is used in such cases where the outcome of the trial is uncertain. Probability Definition: The probability of happening of an event…