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Consider the conditional probability P(A|C) .
Is it true that we can calculate above as
Summation over B P(A|B)*P(B|C) .
Is it true that we can calculate above as
Summation over B P(A|B)*P(B|C) .
Conditional probability is a mathematical concept that calculates the likelihood of an event occurring, given that another event has already occurred. It is represented by P(A|B), which reads as "the probability of event A, given that event B has occurred."
To calculate conditional probability, you need to know the probability of the two events separately. Then, you divide the probability of both events occurring by the probability of the second event occurring. This can be represented by the formula P(A|B) = P(A∩B) / P(B).
Another variable in conditional probability acts as a condition or a given information. It helps us to adjust the probability of an event based on the information we already have. This variable is represented by B in the formula P(A|B).
Yes, conditional probability can be used in many real-life situations, such as weather forecasting, medical diagnosis, and financial analysis. It allows us to make predictions and decisions based on the information we have about a particular event or situation.
Regular probability calculates the likelihood of an event occurring without considering any additional information. On the other hand, conditional probability takes into account the given information or condition to adjust the probability of an event. Regular probability is represented by P(A), while conditional probability is represented by P(A|B).