Final answer:
The probability of two independent events occurring together is indeed the product of their individual probabilities, which is expressed by the product rule P(A AND B) = P(A)P(B).
Step-by-step explanation:
The statement that the probability of two independent events occurring together is the product of the probabilities of each event occurring separately is true. Two events are independent if the occurrence of one does not affect the probability of the other occurring. In mathematical terms, for independent events A and B, the product rule of probability applies, which is expressed as P(A AND B) = P(A)P(B).
For instance, consider rolling a six-sided die and flipping a penny at the same time. Since the outcome of the die (six possible outcomes) is independent of the outcome of the penny flip (two possible outcomes: heads or tails), you would calculate the probability of a specific die outcome and the penny landing on heads together by multiplying the individual probabilities: P(Die roll AND Penny heads) = P(Die roll)P(Penny heads).