Let E1 and E2 be two independent events such that p(E1) = p1 and P(E2) = p2.

Question:

Let E1 and E2 be two independent events such that p(E1) = p1 and P(E2) = p2. Describe in words of the events whose probabilities are:

(i) p1 p2 

(ii) (1–p1p2 

(iii) 1 – (1 – p1)(1 – p2)

(iv) p1 + p2 – 2p1p2

Solution:

Here, P(E1) = p1 and P(E2) = p2

Now, its clearly seen that either E1 or E2 occurs but not both.

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