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A lottery system has balls numbered 1 to 55 and randomly selects 7 of the lottery balls. There is only one prize of $8, 100,000.00 which is awarded only if a lottery player selects the correct set of 7 lottery balls. a) If a lottery ticket costs $5.00, what is a lottery player's expected value? b) How much would the lottery prize have to be worth if it was to be a fair game? Note: Include dollar signs in your answers and round to the nearest penny. If an answer is negative, put the negative sign first, like -$3.50.)