x is a randomly chosen hexadecimal real number on the interval (0, (10)_{16})
Determine the probability of each of the following:
(i) x and 3^{x} have the same first digit.
(ii) x and x^{3} have the same first digit.
(iii) x^{3} and 3^{x} have the same first digit.
(iv) x, x^{3} and 3^{x} have the same first digit.
*** “First digit” denotes the first nonzero digit of the number when expressed in hexadecimal form.