Suppose a fair coin is tossed until a head appears. (a) Find the sample space S and a probability function defining the random variable X which gives the number of tosses until the first head. (b)...

Suppose a fair coin is tossed until a head appears.

(a) Find the sample space S and a probability function defining the random variable X which gives the number of tosses

until the first head.

(b) Answer part (a) for the random variable Y giving the number

of tosses until a 6 occurs on repeated tosses of a fair die.