In the Florida lottery Lotto game, you select six numbers from a pool of numbers from 1 to 53 (see flalottery.com). Each wager costs $1. You win the jackpot if you match all six numbers that you have selected. Find the probability of
a. Winning the jackpot.
b. Matching five numbers.
c. Matching four numbers.
d. Matching three numbers.
e. Matching two numbers.
f. Matching one number.
g. Matching none of the numbers.
h. If you match zero, one, or two numbers, you do not win anything. What is the probability that you will not win anything?
i. The Lotto ticket gives complete game rules and probabilities of matching zero through six numbers. The lottery ticket has the saying "A Win for Education" on the back of the ticket. Do you think Florida's slogan and the printed complete game rules and probabilities of matching zero through six numbers is an ethical approach to running the lottery game?