The probability of an event A is 1/5. The probability of B is 1/3 . The probability both A and B is 1/15. What is the probability of either event A or B or both
A
\( \frac{2}{15} \)
B
\( \frac{3}{4} \)
C
\( \frac{9}{15} \)
D
\( \frac{1}{15} \)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
In probability, or = +
Prob( A or B or Both ) = \(\frac{1}{3} + \frac{1}{5} + \frac{1}{15}\) = \(\frac{5+ 3 + 1}{15}\) = \(\frac{9}{15}\) = \(\frac{3}{5}\)
Source: Myschool Past Questions Archive (Record #40716)