The table shows when the tickets for a concert are sold and the types of tickets that are sold. ![](http://admin.getprephub.com/media/editor/p9_20230225213656634462.png) What is the probability that a randomly selected person attending the concert is an adult or has purchased the ticket in advance?

Let $$A$$ be the event that the person selected is adult. Therefore, $$P(A)=\frac{110}{250}$$. Also $$B$$ be the event that the person has purchased the ticket in advance. Therefore, $$P(B)=\frac{140}{250}$$ we know that, $${P}({A} \cup {B})={P}({A})+{P}({B})-{P}({A} \cap {B})$$ Putting the values, Or, $$P(A \cup B)=\frac{110}{250}+\frac{140}{250}-\frac{100}{250}=\frac{150}{250}=\frac{3}{5}$$

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The table shows when the tickets for a concert are sold and the types of tickets that are sold.

What is the probability that a randomly selected person attending the concert is an adult or has purchased the ticket in advance?

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{11}{15}$

$\frac{13}{15}$

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