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In a lottery​ game, the jackpot is won by selecting five different whole numbers from 1...

In a lottery​ game, the jackpot is won by selecting five different whole numbers from 1 through 38 and getting the same five numbers​ (in any​ order) that are later drawn. In the Pick 4 ​game, you win a straight bet by selecting four digits​ (with repetition​ allowed), each one from 0 to​ 9, and getting the same four digits in the exact order they are later drawn. The Pick 4 game returns ​$5 comma 000 for a winning​ $1 ticket. Complete parts​ (a) through​ (c) below.

a. In a lottery​ game, the jackpot is won by selecting five different whole numbers from 1 through 38 and getting the same five

numbers​ (in any​ order) that are later drawn. What is the probability of winning a jackpot in this​ game? ​P(winning a jackpot in this​game)equals=nothing

​(Type an integer or a simplified​ fraction.)

b. In the Pick 4 game, you win a straight bet by selecting four digits (with repetition allowed), each one from 0 to 9, and getting the same four digits in the exact order they are later drawn. What is the probability of winning this game? P(winning the Pick 4 game-I (Type an integer or a simplified fraction )

c. The Pick 4 game returns S5,000 for a winning S1 ticket. What should be the return if the lottery organization were to run this game for no profit? S(Type a whole number.)

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