Two people X and Y apply for a job in a company. The probability that X is selected is \(\frac{2}{5}\) and the probability that Y is selected is \(\frac{4}{7}\). If the two selections are independent, what is the probability that both of them are selected?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\frac{8}{35}\)
For independent events, the probability that both happen is the product of their probabilities.
P(X selected) \(\displaystyle =\frac{2}{5}\), P(Y selected) \(\displaystyle =\frac{4}{7}\)
P(both selected) \(\displaystyle =\frac{2}{5}\times\frac{4}{7}=\frac{8}{35}\)