Question

What does the term 'given' mean in probability?

Answer 1

Given in Probablity:

• The term “given” in probability is associated with conditional probability.
• It simply means the probability of an event $A$, if the event $B$ has already happened.
• It is denoted by $P\left(A|B\right)$ and read as "probability of $A$given $B$".
• $\mathit{P}\left(A|B\right)\mathbf{=}\frac{\mathbf{P}\left(B|A\right)\mathbf{·}\mathbf{P}\left(A\right)}{\mathbf{P}\left(B\right)}$, where $P\left(A\right)$is the probability of occurrence of the event $A$and $P\left(B\right)$ is the probability of occurrence of the event $B.$

Hence, the meaning of term "given" is explained.