Answer
In independent events, the occurrence of one event does not change the probability of the occurrence of the other event.
In dependent events, the occurrence of one event affects the probability of the occurrence of the other event.
Work Step by Step
Suppose A and B are two events, the formula to prove A and B are independent is P(A|B) = P(A) or P(B|A) = P(B)
The formula to prove A and B are dependent is $P(A|B) \ne P(A) or P(B|A) \ne P(B)$