A crate of soft drinks contains 10 bottles 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 Cocacola 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
Sprite = 6 bottles, Total = 24
P(cola-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 #31428)