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
\(\frac{7}{12}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Coca-Cola = 10 bottles, Fanta = 8 bottles, Spirite = 6 bottles
Total = 24
P(Coca-Cola) = \(\frac{10}{24}\); P(not Coca-Cola)
1 - \(\frac{10}{24}\)
\(\frac{24 - 10}{24} = \frac{14}{24} = \frac{7}{12}\)
Source: Myschool Past Questions Archive (Record #56795)