Final answer:
The statement is true; independent events do not affect each other's probability of occurring. The conditions for independence include the product rule P(A AND B) = P(A)P(B) and that P(B|A) equals P(B).
Step-by-step explanation:
The statement that 'independent events are events whose probabilities of occurring are unrelated to one another' is true. If two events are independent, the probability of one event occurring has no effect on the probability of the other event occurring. This can be represented mathematically as P(A AND B) = P(A)P(B), where P(A) is the probability of event A occurring, and P(B) is the probability of event B occurring. Also, P(B|A), which is the probability of event B given that event A has occurred, is equal to P(B), signifying that event A's occurrence does not impact the likelihood of event B. Conversely, mutual exclusivity between two events means that the two events cannot occur simultaneously; they are not the same as independent events.