a $2 powerball lottery ticket has a 1/27.05 prob-ability of winning $4, a 1/317.39 probability of winning $7, a 1/10,376.47 probability of winning $100, a 1/913,129.18 probability of winning $50,000, a 1/11,688,053.52 probabil-ity of winning $1,000,000, and a 1/292,201,338 probability of winning the grand prize. if the grand prize is currently $100,000,000, what is the expected value of a single power