Mega Millions is a multi-state jackpot draw game with a jackpot starting at $15 million and growing until someone wins. In order to play, the player selects five white numbers from the numbers 1-75 and one Mega Ball number from the numbers 1-15. Mega Millions has nine winning ball combinations summarized by the following table
Match ____________________________________ Prize___
Five white balls and Mega Ball ..................... Jackpot
Five white balls ........................................ $1,000,000
Four white balls and Mega Ball ..................... $5,000
Four white balls ........................................ $500
Three white balls and Mega Ball ..................... $50
Two white balls and Mega Ball ...................... $5
Three white balls ....................................... $5
One white ball and Mega Ball ........................ $2
Mega Ball ................................................ $1
If you buy one Mega Millions ticket, determine the probability (to three significant digits) that you win
a. The jackpot.
b. Exactly $5,000.
c. At least $5,000.
d. A prize.