Powerball is the multistate lottery game which consists of drawing five distinct whole numbers from the numbers 1 through 59 called the white ball numbers. Then one more number from the numbers one through 39 is selected as the powerball number (could be one of the five white ball numbers). If you match all six numbers, you win the multi-million jackpot (the highest jackpot of $365 million US dollars was hit on Feb 18, 2006).
(a) How many different powerball plays are there? Leave the answer as the quotient, don't compute the final number.
(b) If a player purchased one ticket, what is the probability that he or she will hit the jackpot? Don't simplify.