Answer:
Expected Payoff ⇒ $ 15.5 ; Type in 15.5
Step-by-step explanation:
Considering that all odd out of the 20 numbers will have a probability of winning a 31 dollar prize, take a proportionality into account;
[tex]20 - Total Number of Balls,\\1 - 20 - Numbering of Balls,\\Even = Odd, Between 1 - 20, Knowing 20 - Even,\\\\10 / 20 - Odd,\\10 / 20 - Even,\\1 / 2 - Probability of Choosing an Odd Ball,\\\\Proportionality - 1 / 2 = x / 31, where x = " Expected Payoff ",\\1 / 2 = x / 31 - Cross Multiply,\\2x = 31,\\\\Conclusion ; x = 15.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 15.5