If two events are independent, it means that the probability of one event happening does not depend on the probability of the other happening. If A and B are 2 independent events, the probability of them happening is the product of their seperate probabilities. P(A) x P(B)
If two events are mutually exclusive, it means that they cannot occur together. If A and B are 2 mutually exclusive events, the probability of them happening is together is 0