A 3-digit number between 000 and 999 (inclusive) is selected at random. Assume that all outcomes in the sample space are equally likely. (a) What is the sample space? (Do not attempt to explicitly write out the entire sample space; just describe it.) (b) What is the probability that the rst digit of the selected number is odd? (Hint: count.) (c) What is the probability that all digits of the selected number are odd? (Hint: count.)