Answer: Expected value = $2.034
Explanation:
Total outcome = 52
Favorable Outcome = 8
Probability of drawing a card with a value of three or less = [tex]\frac{Favorable\ outcome}{Total\ outcome}[/tex]
= [tex]\frac{8}{52}[/tex]
= [tex]\frac{2}{13}[/tex]
Probability of drawing a card with a value of more than three = 1 - [tex]\frac{2}{13}[/tex]
= [tex]\frac{11}{13}[/tex]
Hence,
Expected value = [tex]146 \times \frac{2}{13} + (-24) \times \frac{11}{13}[/tex]
= 22.338 - 20.304
= $2.034
