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})
Correct Answer: Option B
Explanation
n(apples) = 9
n(bananas) = 8
n(oranges) = 7
n((varepsilon)) = 24
Hence Prob(not apple, nor orange) = Prob(banana) = (frac{8}{24}) = (frac{1}{3})
There is an explanation video available below.