Question

What is $A\cap B$ means in probability?

Answer 1

The $A\cap B$in probability.

An intersection is denoted by the symbol $\text{'}\text{'}\cap \text{'}\text{'}$in Probability. The components are shared both by sets $A$ and $B$ are specified by $A$ intersection$B$.

If $A$ and $B$ are two sets, then the $A$ intersection $B$ equation is as follows:
$A\cap B=\{x:x\in A\mathrm{and}x\in B\}$
$P(A\cap B)$ specifies the probability of occurrence $A$ and $B$ occurring simultaneously. The equation $P(A\cap B)$ is as follows:
$P(A\cap B)=P\left(A\right)\times P\left(B\right)$
Where,

• The probability of the event $A$ is given by$P\left(A\right)$.
• The probability of the event $B$ is given by$P\left(B\right)$.
• $P(A\cap B)$ is the chance that occurrences A and B will occur concurrently.

Hence, A set that shares items with both sets $A$ and $B$ is called an intersection.