27. A point is chosen at random from the interval (−1, 1). Let E1 be the event that it falls in the interval (−1/2, 1/2), E2 be the event that it falls in the interval (−1/4, 1/4) and, in general, for 1 ≤ i < ∞, Ei be the event that the point is in the interval (−1/2i, 1/2i).
Find S ∞ i =1 Ei and T ∞ i =1 Ei.