Suppose the Texas Lottery is designing a new scratch-off card! It’s a simplepirate-themed card consisting of one box you must scratch to uncover. It contains either...• a treasure chest, which means you’ve won $1,000,000,• a treasure map, which means you’ve won $1,000,• a parrot, which means you’ve won $5, or• a plank, which means you’ve won a whopping $0.Suppose the designer plans to distribute the tickets so that 1 treasure chest appears in every1,000 tickets, 10 treasure chests appear in every 1,000 tickets, 100 parrots appear in every1,000 tickets, and the rest of the tickets are planks.Using the definition of mathematical fairness given in class, what price should the TexasLottery charge per ticket to make this fair?
Suppose the Texas Lottery is designing a new scratch-off card! It’s a simple
pirate-themed card consisting of one box you must scratch to uncover. It contains either...
• a treasure chest, which means you’ve won $1,000,000,
• a treasure map, which means you’ve won $1,000,
• a parrot, which means you’ve won $5, or
• a plank, which means you’ve won a whopping $0.
Suppose the designer plans to distribute the tickets so that 1 treasure chest appears in every
1,000 tickets, 10 treasure chests appear in every 1,000 tickets, 100 parrots appear in every
1,000 tickets, and the rest of the tickets are planks.
Using the definition of mathematical fairness given in class, what price should the Texas
Lottery charge per ticket to make this fair?
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