The process of observing or recording a measurement under a given set of conditions is a trial or experiment. Outcomes of an experiment are called events. conditional probability calculator. The probability of an A, denoted by P ( A ) is the chance A will happen. Let us discuss what is conditional probability in this article.
But, in many cases, one has to arrive to the probability of an event under the condition that another event B whose probability is greater than Zero has already occurred.
" The probability of an even A , given that an event B has occured, is called the conditional probability of A given B and denoted by the symbol P ( A / B )."
P ( A / B ) = P(AB)/P(B)
where AB is the event that both A and B occur.
Similarly, If P ( A ) > 0, the conditional probability of an even B, given that the event A has occurred, is defined by the formula
P ( B / A ) = P(AB)/P(A)
Definition of Conditional Probability in Statistics
A set of conditions C the definition of the probability of an event. If no restrictions other than the conditions C are applied when calculating the probability P ( A ), then this probability is called unconditional.But, in many cases, one has to arrive to the probability of an event under the condition that another event B whose probability is greater than Zero has already occurred.
" The probability of an even A , given that an event B has occured, is called the conditional probability of A given B and denoted by the symbol P ( A / B )."
Formula for Conditional Probability in Statistics
If the probability of an event B is greater than Zero then the conditional probability of an event A, given that the event B has occurred, is calculated by the formula and Ratio examplesP ( A / B ) = P(AB)/P(B)
where AB is the event that both A and B occur.
Similarly, If P ( A ) > 0, the conditional probability of an even B, given that the event A has occurred, is defined by the formula
P ( B / A ) = P(AB)/P(A)
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