Question 20.10

20.10 More Pick 4. Just as with Pick 3 (Example 2), you can make more elaborate bets in Pick 4. In the $1 StraightBox (24-way) bet, if you choose 1234 you win $2604 if the randomly chosen winning number is 1234, and you win $104 if the winning number has the digits 1, 2, 3, and 4 in any other order (there are 15 such other orders). What is the expected amount you win?