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Step-by-step explanation:

Step-by-step explanation:

P(A|B) is the probability of an event A occurring given that another event B has (or will have) occurred.

You first need to check if those two events are mutually exclusive.

Events A and B are NOT mutually exclusive if:

and in that case, events A and B can occur at the same time.

So,

Otherwise, there are mutually exclusive and

wich means

Finally

Case 1: events A and B ARE mutually exclusive

with

So

Case 2: events A and B ARE NOT mutually exclusive

Example in this case:

A: 5 students plays basketball, beeing

B: 7 students plays soccer, beeing

Asuming every student plays at least one sport, there are 2 student who plays both sports, wich is:

So,