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A basket contains 9 apples 8 bananas and 7 oran... - JAMB Mathematics 2024 Question

A basket contains 9 apples, 8 bananas and 7 oranges. A fruit is picked from the basket, find the probability that it is neither an apple nor an orange.

A
\(\frac{3}{8}\)
B
\(\frac{1}{3}\)
C
\(\frac{7}{24}\)
D
\(\frac{2}{3}\)
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Correct Option: B
  1. Find the total number of fruits: 9 apples + 8 bananas + 7 oranges = 24 fruits
  2. Find the number of fruits that are NOT apples or oranges: This means we are looking for the number of bananas, which is 8.
  3. Calculate the probability: Probability = (Favorable outcomes) / (Total possible outcomes) = 8 bananas / 24 total fruits = 8/24 = 1/3
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