Category «probability»

Multiplication Theorem of Probability

According to Multiplication Theorem of Probability, for any two events A, B probability of A∩B is as given below P(A∩B) = P(A).P(B/A) = P(B).P(A/B) Suppose N is the total number of simple events in the sample space S. Simple events in A∩B = λ1, λ2,……..,λk Simple events in A = α1, α2,……,αm,λ1, λ2,……..,λk Simple events …

What is Probability?

If S is the sample space of a random experiment, ‘E’ is any event, then probability of E is denoted by P(E) and is defined as P(E) = (Number of Simple Events in E / Total Number of Simple Events in S.) Note that, P(φ) = 0 and P (S) = 1

Addition Theorem on Probability

For any two event A, B the Probability of A union B equals to probability of A added to probability of B minus probability of A intersection B. P (A∪B) = P(A) + P(B) – P(A∩B) Proof :- Suppose, the simple events in A∩B are γ1, γ2, γ3,…………,γk simple events in A are α1, α2, …