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Restaurant Promotion: Determine the Probability

APSTAT-PIE1HX

A new restaurant is trying to attract customers and has decided to run a promotion. During their grand opening celebration, everyone who stops by will be given one ticket which contains an area that can be scratched off to reveal a single prize.

Consider a case where $50\%$ of the tickets reveal a discount, $20\%$ of the tickets reveal a free beverage, $15\%$ of the tickets reveal a free appetizer, $10\%$ of the tickets reveal a free dessert, and the remaining tickets reveal a free entree.

What is the probability that the individual who receives the first ticket will win either a free appetizer or free entree (assume that this individual is able to pick one of the tickets at random)?

A

$0.05$

B

$0.15$

C

$0.1925$

D

$0.2$

E

$0.5$