The question is as follows:
Let's say that you play the lottery (when you are old enough). Six numbers without repetition are chosen from 1-40, If you pick all six numbers, you win \$1 million. If you pick five of the six, you win \$1000. If you pick four of the six, you win \$100. What is the expected value of a \$1 lottery ticket? Note: the way you play this lottery game if by receiving a card with an empty circle under each number from 1-40. You will fill in the circle underneath each of the six numbers you choose.
I have tried all sorts of work but they all result to either a ridiculously small answer or a ridiculously large answer, and the correct answer is -0.467. Can someone help me out here?