- An event is the result of a random experiment or a group of shared results.
- It could be defined as every subset of a sample space because the sample space is a collection of all possible results of a random experiment.
When the event B is dependenting on event A,
\(\to \bold{P(B \cap A)
eq P(B)\times P(A)}\\\\\)
When the event A comes before event B. So, the probability of B given A:
\(\to \bold{P(B|A)=\frac{P(B\cap A )}{P(A)}}\)
Solving the value for the P(A):
\(\to \bold{P(A)=\frac{P(B\cap A)}{P(B| A)}}\)
Therefore, the "\(\bold{P(A)=\frac{P(B\cap A)}{P(B| A)}}\)" is correct.
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