In a lottery game, the jackpot is won by selecting five different whole numbers from 1 through 37 and getting the same five numbers (in any order) that are later drawn. in the pick 5 game, you win a straight bet by selecting five digits (with repetition allowed), each one from 0 to 9, and getting the same five digits in the exact order they are later drawn. the pick 5 game returns $50,000 for a winning $1 ticket. complete parts (a) through (c) below: a. in a lottery game, the jackpot is won by selecting fivefive different whole numbers from 1 through 37 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)=b. in the pick 5 game, you win a straight bet by selecting five digits (with repetition allowed), each one from 0 to 9, and getting the same five digits in the exact order they are later drawn. what is the probability of winning this game? p(winning the pick 55game)=c. the pick 5 game returns $50,000 for a winning $1 ticket. what should be the return if the lottery organization were to run this game for no profit?

a. In the lottery game, it seems that repetition of numbers getting picked is *not* allowed. There are

ways of picking any 5 numbers between 1 and 37, so the probability of winning the jackpot is 1/435,897.

b. With repetition allowed, there are

possible ways to draw any 5 numbers between 0 and 9, so the probability of winning the jackpot is 1/100,000.

c. In order for the game to be no-profit, its expected value should be 0. This basically means that the amount of money players pay to play the game should be balanced exactly by the winning amount. If represents the amount of money won by a player, then

with probabilities

The expected value is

which means the average player is expected to lose $0.50.

The game is no-profit if the jackpot is such that

Solving for tells us the jackpot should be $100,000.

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

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step-by-step explanation: