A lottery system has balls numbered 1 to 65 and randomly selects 6 of the lottery balls. There is only one prize of $6,100,000.00 which is awarded only if a lottery player selects the correct set of 6 lottery balls. a) If a lottery ticket costs $3.00, 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.)