The probabilities that Kodjo and Adoga pass an examination are (frac{3}{4}) and (frac{3}{5}) respectively. Find the probability of both boys failing the examination
-
A.
(frac{1}{10}) -
B.
(frac{3}{10}) -
C.
(frac{9}{20}) -
D.
(frac{2}{3})
Correct Answer: Option A
Explanation
P(Kodjo passing) = (frac{3}{4}); P(Adoga passing) = (frac{3}{5})
P(Kodjo failing) = (frac{1}{4}); P(Adoga failing) = (frac{2}{5})
P(both fail) = (frac{1}{4} times frac{2}{5})
= (frac{1}{10})