Find the Probability of the Complement Event of A

${\displaystyle A}$ represents any event, and ${\displaystyle A\mathrm{<mo>\prime </mo>}}$ is the complement of that event. Combined, the mutually exclusive events ${\displaystyle A}$ and ${\displaystyle A\mathrm{<mo>\prime </mo>}}$ represent every possible outcome in the sample space, so the sum of their two probabilities adds to ${\displaystyle 1}$. In this case, ${\displaystyle P\left(A\right)+P\left(A\mathrm{<mo>\prime </mo>}\right)=1}$.

The probability of the complement event ${\displaystyle A\mathrm{<mo>\prime </mo>}}$ is ${\displaystyle P\left(A\mathrm{<mo>\prime </mo>}\right)}$, which is equal to ${\displaystyle 1-PA}$.

Substitute the value of ${\displaystyle P\left(A\right)}$ into ${\displaystyle P\left(A\mathrm{<mo>\prime </mo>}\right)=1-PA}$.

Multiply ${\displaystyle -1}$ by ${\displaystyle 0.03}$.