Question: 1.13. (a) Show that for any two events, 41 and 42, we have P(A1 U A2) P(A1) + P(A2). (b) Show that for any w

1.13.

(a) Show that for any two events, 41 and 42, we have P(A1 U A2) P(A1) + P(A2).

(b) Show that for any w events A...A.. we have P(A UUA) P(A) + ... + P(A). [Hint: Use mathematical induction. The result stated in

(b) is called Boole's inequality.]

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