Question 1170997
The expected value is the probability of winning times the prize amount
minus the probability of not winning times the cost of the contest
The total number of combinations of the 6 numbers is N = 27x26x25x24x23x22/6!
since the numbers can be arranged in 6! factorial ways
N = 296010
The expected value E = $20000(1/296010) - $1(296009/296010) = -$0.9324, or about
-93 cents