Discussion
Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?
Answer: A
The two selections are independent, so the probabilities multiply.
\[ P = \frac{2}{5} \times \frac{4}{7} = \frac{8}{35} \]
Adding them would answer a different question - and would exceed 1 in many such problems, which is the quickest sign that multiplication is meant.
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