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

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

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