Consider tossing a "fair" coin until a head occurs. The outcome space S = {l, 2, 3, ••• }. Assuming the outcomes of the tosses to be independent, find the probability of (a) One required toss. (b) Two...

Consider tossing a "fair" coin until a head occurs. The outcome

space S = {l, 2, 3, ••• }. Assuming the outcomes of the tosses

to be independent, find the probability of

(a) One required toss.

(b) Two required tosses.

(c) x required tosses.

(d) Assume the probability the coin shows heads is 0 <>

with q = 1 - p, find the probability of x required tosses.

Show that these probabilities sum to 1.