A repeated appearance of the same symbol in a sequence is called a "run". For example the sequence 0111001 contains four runs: 0, 111, 00, and 1; the sequence 00010 contains three runs: 000,1, and 0; and the sequence 111 contains a single run -- the sequence itself. Find the expected number of runs in the random sequence X1X2 where X1 and X2 are independent Bap, (Bernoulli with parameter 2f3i random variables. For example, if X1 = l and X2 = U, the sequence is 10 and has 2 runs. Find the expected number of runs in the random sequence X1X3X3X4X5, where all Xi's are independent Balls random variables