A crate of soft drinks contains 10 bottles of Coca-cola, 8 of Fanta and 6...

JAMB 1991

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

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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 - \(\frac{10}{24}\)

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

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

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