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1. The current Powerball jackpot is estimated to be $193 million. The Powerball lottery is decided every Wednesday and Saturday night by drawing five white

1. The current Powerball jackpot is estimated to be $193 million. The Powerball lottery is decided every Wednesday and Saturday night by drawing five white balls out of a drum with 69 balls and one red ball out of a drum with 26 red balls. The Powerball jackpot is won by matching all five white balls in any order and the red Powerball. Each ticket costs $2. A ticket is defined as a set of five white and 1 red number. 

a. [10 pts] What is the expected value for purchasing one ticket for the jackpot? 

 b. [10 pts] What would the minimum jackpot need to be in order to make the expected value equal 0? Round to the nearest dollar.

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