Probability

Total Probability Theorem – Definition & Example

Here you will learn law of total probability theorem with examples. Let’s begin – Total Probability Theorem (Law of Total Probability) Let an event A of an experiment occurs with its n mutually exclusive and exhaustive events \(B_1,B_2,B_3….B_n\) then total probability of occurrence of event A is P(A) = \(P(AB_1)\) + \(P(AB_2)\) +……..+ \(P(AB_n)\) P(A) …

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Formula for Bayes Theorem – Definition & Example

Here, you will learn the definition of bayes theorem and the formula for bayes theorem with example. Let’s begin – Formula for Bayes Theorem Let an event A of an experiment occurs with its n mutually exclusive & exhaustive events \(B_1\), , \(B_2\), \(B_3\),………\(B_n\) & the probabilities P(A/\(B_1\)), P(A/\(B_2\))……..P(A/\(B_n\)) are known, then P(\(B_i\)/A) = \(P(B_i).P(A/B_i)\over …

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Dependent and Independent Events in Probability

Here, you will learn dependent and independent events in probability with examples. Let’s begin – Dependent and Independent Events Two Events A and B are said to be independent if occurrence or non-occurrence of one does not affect the probability of the occurrence or non-occurrence of other. If the occurrence of one event affects the …

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