Final answer:
The probability that both independent events E and F will occur is found by multiplying their individual probabilities, which is P(E AND F) = P(E) × P(F) = m × n.
Step-by-step explanation:
If we suppose that events E and F are independent, and that P(E) = m and P(F) = n, then the probability that both E and F occur can be calculated by multiplying their individual probabilities. This is because the definition of independent events allows us to multiply their probabilities to find the probability of their intersection.
Therefore, P(E AND F) = P(E) × P(F) = m × n. Among the provided options, the correct answer is mn, which corresponds to option b).