this is a test -- trying to understand how jovian commit works

Mutually Exclusive Events

Given two events $A$ and $B$, we know that

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

In some cases, $P(A \cap B)$ is $0$ e.g. if we roll a fair die and A & B represent the conditions "getting a 2" and "getting a 3" respectively, then condition $A \cap B$ represents the condition "getting a 2 and a 3", which is impossible.

If $P(A \cap B)$ is 0, then $A$ & $B$ are said to be mutually exclusive, and it follows that

$P(A \cup B) = P(A) + P(B)$