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## Answers

If E1 and E2 are mutually exclusive events, then E1 and E2 will not happen together. So the probabality of the 2 events will be zero:P(E1 and E2) = 0.Now, suppose "E1 or E2" denotes the event that "either E1 or E2 both occur", then(a) If E1 and E2 are not mutually exclusive events:

P(E1 or E2) = P(E1) + P(E2) − P(E1 and E2)We can also write:P(E1 ∪ E2) = P(E1) + P(E2) − P(E1 ∩ E2)