Question

Let A, B and C are defined as an event in a certain sample space. The following information are known:

* A and C are independent events.

* A and B are mutually exclusive events.

* ?(? ∪ ?) = 0.99, ?(? ∪ ?) = 0.999, ?(?) = 0. 48

Find ?(?) and ?(?).

Answer 1

We are given that A and C are independent events, thus we get:
P(A ⋂ C) = P(A)*P(C) ....................(1)

Moreover, we are given that A and B are mutually exclusive, thus we get:
P(A ⋂ B) = 0 ......................(2)

Now, we are given that:

Moreover, we are given that:

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