The probability that John and James pass an examination are 3/4 and 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{11}{20})
Correct Answer: Option A
Explanation
Prob.(John pass)(=frac{3}{4}) prob.(John fail) (=1-frac{3}{4}=frac{1}{4})
Prob.(James pass) (=frac{3}{5}) Prob.(James fail) (=1-frac{3}{5}=frac{2}{5})
Prob(both boys fail)(=frac{1}{4}times frac{2}{5}=frac{1}{10})