Question: Show that if E1, E2, . . . , En are events from a finite sample space, then p(E1 E2

Show that if E1, E2, . . . , En are events from a finite sample space, then
p(E1 ∪ E2 ∪ · · · ∪ En) ≤ p(E1) + p(E2)+· · ·+p(En).
This is known as Boole's inequality

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