A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, what is the probability that it is Not a Coca-Cola bottle? 

A.

\(\frac{5}{12}\)

B.

\(\frac{1}{3}\)

C.

\(\frac{3}{4}\)

D.

\(\frac{7}{12}\)

Correct answer is D

Coca-Cola = 10 bottles, Fanta = 8 bottles, Spirite = 6 bottles 

Total = 24

P(Coca-Cola) = \(\frac{10}{24}\); P(not Coca-Cola) 

1 - \(\frac{10}{24}\) 

\(\frac{24 - 10}{24} = \frac{14}{24} = \frac{7}{12}\)