Six balls numbered 1 through 6 are in a bin. You randomly draw them out one at a time, without replacement, and put them into boxes numbered 1 through 6 (one ball in each box). For each ball whose number matches the number of the box you put it in, you win that number of dollars. (For example, if ball 2 ends up in box 2 , you win $2 for that ball.)
What are your expected total winnings (in dollars)?
