Final answer:
The probability of both independent events A and B occurring, given P(A) = 0.3 and P(B) = 0.5, is calculated using the formula P(A AND B) = P(A) × P(B), which yields 0.15.
Step-by-step explanation:
The question involves the concept of probability, specifically focusing on independent events. Two events, A and B, are independent if the occurrence of one does not affect the occurrence of the other. The formula for finding the probability of both independent events occurring is P(A AND B) = P(A) × P(B).
Given that P(A) = 0.3 and P(B) = 0.5, we can calculate:
P(A AND B) = (0.3) × (0.5) = 0.15.
This is not one of the options provided in the reference information, indicating a potential mismatch between the question asked and the information provided. Nevertheless, with the data given, the calculation above is correct for independent events A and B.