Answer:
The answer is "[tex]\bold{-\frac{1}{2}}[/tex]"
Step-by-step explanation:
Miguel's choose the best way to win the 2 dollars by pulling the two chips with the number 1. In total, there are four balls, so his probability of winning is:
[tex]\to \frac{2}{4} \times \frac{1}{3}= \frac{1}{6}[/tex]
The chances of losing a dollar add up to that amount, so 5/6.
Price predicted = [tex]\frac{1}{6} \times (2) + \frac{5}{6} \times (-1)[/tex]
[tex]=\frac{1}{6} \times 2 + \frac{5}{6} \times -1\\\\=\frac{1}{3} - \frac{5}{6} \\\\=\frac{2-5}{6}\\\\=\frac{-3}{6}\\\\=- \frac{1}{2}\\[/tex]
The final answer is "[tex]-\frac{1}{2}[/tex]"
