Statistics Examples

${\displaystyle A}$ and ${\displaystyle B}$ are mutually exclusive events if they cannot occur at the same time. For example, tossing a coin once results in either head or tail, but not both. The probability of their joint occurrence is zero ${\displaystyle P(A\cap B)=0}$ and it is not possible for ${\displaystyle A}$ and ${\displaystyle B}$ to be independent because ${\displaystyle P\left(A\right|B)=P\left(B\right|A)=0}$ for mutually exclusive ${\displaystyle A}$ and ${\displaystyle B}$.

Add ${\displaystyle 0.77}$ and ${\displaystyle 0.22}$.