## Disjoint vs. Independent

### Disjoint

Two events that are **disjoint (mutually exclusive)** cannot happen at the same time.

So disjointness is about events happening at the same time. Therefore, if events A and B are disjoint, probability of A and B is 0.

If events A and B are disjoint, Then, P(A and B) = 0.

### Independent

Two processes are **independent** if knowing the outcome of one provides no useful information about the outcome of the other.

So independence is about processes not affecting each other. Therefore, if events A and B are independent, probability of A given B is equal to the probability of A.

If events A and B are independent. Then, P(A | B) = P(A).

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