Each case below gives a recursive definition of a subset L of {a, b}". Give a simple non-recursive definition of L in each case. a. a E L; for any x E L, xa and xb are in L. b. a E L; for any x E L, bx and xb are in L. c. a E L; for any xEL, ax and xb are in L. d. a E L; for any x E L, xb, xa, and bx are in L. e. a E L; for any x E L, xb, ax, and bx are in L. f. a E L; for any xE L, xb and xba are in L. Hint: The non-recursive definition of the language listed at point a may be given as: "the set of all stringe beginning with

A randomized algorithm is defined as one that uses a certain amount of randomization in its logic or operation. It is said to be an algorithm that depends on the random number to perform its operation. It is used for reducing the overall time complexity,…