Introduction to Probability
Introduction to Probability
Definitions of Probability
The statistical definition of probability was given by Richard Von...}
Introduction to Probability
Geometric Probability: Bertrand's Paradox,Fundamental Theorems on Probability,Addition Theorem of Probability (Theorem of Total Probability),Extension of Additive Theorem of Probability to n Events,B
Probability of an impossible event is zero i.e. p(\(\phi\))=0
$$P(A \cup B)=P(A)+P(B)-P(A...}
Introduction to Probability
Compound Events,Conditional Probability
1. The compound events are two types they are independent and dependent events.
2. $$P(\fr...}
Introduction to Probability
Multiplication Theorem of Probability (Theorem of Compound Probability),Extension of Multiplication Theorem of Probability to n Events
1.Two events A and B are independent if and only if \(P(A \cap B\))=P(A).(B)
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Introduction to Probability
Pairwise and Mutually Independent Events,
$$P(A \cap B)=P(A).P(B)$$
$$P(B \cap C)=P(B).P(C)$$
$$P(A \cap C)=P(A).P(C)$$
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Introduction to Probability
Baye's Theorem :Prior and Posterior Probabilities
In case \(A_1,A_2,...,A_n\) are equally likely events i.e. if \(P(A_1)=P(A_2)=..........=P(A_n) \...}