In a lotterygame, the jackpot is won by selecting six different whole numbers from 1 through 38 and getting the same six numbers(in anyorder) that are later drawn. In the Pick 3 game, you win a straight bet by selecting three digits(with repetitionallowed), each one from 0 to9, and getting the same three digits in the exact order they are later drawn. The Pick 3 game returns $500 for a winning$1 ticket. Complete parts(a) through(c) below.

a. In a lotterygame, the jackpot is won by selecting six different whole numbers from 1 through 38 and getting the same six numbers(in anyorder) that are later drawn. What is the probability of winning a jackpot in thisgame?

P(winning a jackpot in this game)=

(Type an integer or a simplifiedfraction.)

b. In the Pick 3 game, you win a straight bet by selecting three digits(with repetitionallowed), each one from 0 to9, and getting the same three digits in the exact order they are later drawn. What is the probability of winning thisgame?

P(winning the Pick 3 game)=

(Type an integer or a simplifiedfraction.)

c. The Pick 3 game returns $500 for a winning$1 ticket. What should be the return if the lottery organization were to run this game for noprofit?

(Type a wholenumber.)