Q. 4 Consider the sample space S = {1,2,3,", 0} of the experiment of tossing a coin until a tail appears; here n denotes the number of times the coin is tossed. A probability space is obtained by...

Extracted text: Q. 4 Consider the sample space S = {1,2,3,", 0} of the experiment of tossing a coin until a tail appears; here n denotes the number of times the coin is tossed. A probability space is obtained by setting 1 1 1 P(1) =.P(2) =P(3) =P(1) P(0) = 0. 2n Show that P(S) = 1.