Powerball is a multi-state lottery game offering a jackpot prize of several millions of dollars. To win you must match 5 numbers ranging from 1-59 and also a Powerball number which ranges from 1-35.
(a) Suppose you were playing a much simpler lottery in which you only needed to correctly guess one number, ranging from 1-59. What would be your probability of winning as a percent? Round your answer to the nearest tenth of a percent.
___%
(b) Now, suppose this lottery expands to include a second number, ranging from 1-59. What would be your chances of guessing both these numbers correctly? Round your answer to the nearest thousandth of a percent.
____%
