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The cap symbol is used in math to represent the set intersection operator. It also is used in probability to represent the occurence of two events. Typically, it is used in an expression like this:
In plain language, this means the intersection of the sets and .
The set union symbol, also called the cup symbol, represents the union operator in set theory.
The set intersection operator returns the shared elements between two sets. The operator is denoted using the cap symbol.  set theory
The probability of two events is given by the probability of the first event occurring given that the second event has occured multiplied by the probility of the second event occuring.
The conditional probility formula shows how to calculate the probability of a event B, given that another event A has already occured.