[tex]\begin{gathered} P(A)=Probability\text{ the patron has soup } \\ P(A)=\frac{50}{95}=\frac{10}{19} \\ P(B)=Probability\text{ the patron has sandwich } \\ P(B)=\frac{60}{95}=\frac{12}{19} \\ P(A\cup B)=Probability\text{ the patron has soup or sandwich} \\ P(A\cup B)=? \\ P(A\cup B)=P(A)+P(B)-P(A\cap B) \\ P(A\cap B)=Probability\text{ the patron has soup and sandwich} \\ P(A\cap B)=\frac{30}{95}=\frac{6}{19} \\ P(A\cup B)=\frac{10}{19}+\frac{12}{19}-\frac{6}{19} \\ P(A\cup B)=\frac{16}{19}=0.8421=84.21\text{\%} \\ \text{The }Probability\text{ the patron has soup or sandwich is }84.21\text{\%} \end{gathered}[/tex]
