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})
Correct Answer: Option D
Explanation
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})