The probabilities that John and James 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 {2}{10}) -
C.
(frac {9}{20}) -
D.
(frac {11}{20})
Correct Answer: Option D
Explanation
Pr(both John and James passed)
= (frac {3}{4}) x (frac {3}{5})
= (frac {9}{20})
Pr(john and james failed)= 1- Pr(john and james passed)
= 1 – (frac {9}{20})
= (frac {11}{20})
Answer is D
There is an explanation video available below.