1. (Expected Value) In the "3 Spot" version of the former California Keno lottery game, the player picked three numbers from 1 to 40. Ten possible winning numbers were then randomly selected. It cost $1 to play. The table shows the possible outcomes.
Number of Matches Amount Won Probability
3 $20 0.012
2 $2 0.137
0 or 1 $0 0.851
Compute the expected value for this game. Interpret what it means. Don't forget that you initially lose $1 by buying a ticket.