Amulti-state lottery advertises the prizes and probabilities of winning shown in the accompanying table for a single$1 ticket. The jackpot isvariable, but assume it has an average of$3 million. Note that the same prize can be given to two outcomes with different probabilities. What is the expected value of a single lotteryticket? If you spend$365 per year on thelottery, how much can you expect to win orlose?

Prize Probability

Jackpot 1/74,094,591

$150,000 1/2,328,779

$5,000 1/350,761

$150 1/9,717

$100 1/7,648

$5 1/220

$5 1/522

$2 1/80

$1 1/58