COolguy101
A and B are mutually independent and the probability that Event A occurs is the same as that of the probability that Event B occurs (both equals to 0.3). What is the probability that Event A occurs when Event B does not occur.
What is the source? Events can be "mutually exclusive", or they can be "independent", but "mutually independent" isn't a thing in math.
If the events are "independent", then A and B are unrelated, so it makes no difference if B occurs or not -- the probability A occurs is 0.3. As a word problem, the question would become something like: Amy will pick a random integer from 1 through 10, and Bita will pick a random integer from 1 through 10. What is the probability Amy will pick one of the numbers 1, 2 or 3 if Bita does not pick 1, 2 or 3? It makes no difference what Bita picks.
If, instead, the question means to say that the events are "mutually exclusive", then the two events cannot both occur. Then the question becomes, as a word problem, something like this: Carlos will pick a random integer from 1 through 10. What is the probability Carlos picks one of the numbers 1, 2 or 3, if you know that Carlos does not pick one of the numbers 8, 9 or 10? Then the answer is 3/7 ~ 0.43, which isn't among the choices.