The chances of Usman and Dele passing a Mathematics test are 3/5 and 1/3, respectively. What is the probability that neither of them passes the test?
A
\(\frac{3}{5}\)
B
\(\frac{2}{5}\)
C
\(\frac{4}{15}\)
D
\(\frac{1}{5}\)
E
\(\frac{2}{15}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
P\(\text{Usman fails}) = 1 - \frac{3}{5} = \frac{2}{5}\)
P\(\text{Dele fails}) = 1 - \frac{1}{3} = \frac{2}{3}\)
P\(\text{neither passes}) = \left(\frac{2}{5}\right) \times \left(\frac{2}{3}\right) = \frac{4}{15}\)
Source: Myschool Past Questions Archive (Record #42511)