8. A point is chosen at random from the interval (1, 1). Let E1 be the event

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8. A point is chosen at random from the interval (−1, 1). Let E1 be the event that it falls in the interval (−1, 1/3], E2 be the event that it falls in the interval (−1, 1/9], E3 be the event that it falls in the interval (−1, 1/27] and, in general, for 1 ≤ i < ∞, Ei be the event that the point is in the interval (−1, 1/3i ]. Find S

∞ i

=1 Ei and T

∞ i

=1 Ei.

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