Respuesta :

[tex] \quad\quad\quad\quad\huge\tt{Answer \: ☕}[/tex]

┈──────────────────────────┈

The formula looks like this:

  • (Probability of Winning) x (Amount Won per Bet) – (Probability of Winning) x

  • (Amount Won per Bet) – (Probability of Losing) x (Amount Lost per Bet).

So, in our example we would plug in these variables, a 50% chance of winning, winning $6, a 50% chance of losing, and $5 lost.

The formula for expected value =

  • (fair win probability) x (profit if win) - (fair loss probability) x (stake).

This is the formula in the OddsJam sports betting expected value calculator.

[tex] \LARGE \tt{Example: \color{purple}{ Amount \: of \: Win}}[/tex]

┈──────────────────────────┈

[tex] \quad\quad\quad \large\tt{Solve \: for \: \color{red}{Amount \: of \: Win}}[/tex]

[tex] \quad\quad \quad\quad \large\tt{x = Amount \: of \: Win}[/tex]

_ _ _ _ _ _ _ _ _ _ _ _

[tex]\quad\quad\quad \implies\sf{0 = \frac{2}{3} * \times - .50} [/tex]

[tex]\quad\quad\quad\implies\tt{0 + .50 = \frac{2}{3}* \times - .50 + .50 }[/tex]

[tex]\quad\quad\quad\implies\tt{0 + .50 = \frac{2}{3} * \times + 0}[/tex]

[tex]\quad\quad\quad\implies \color{blue}\boxed{ \tt \color{red}{.50 = \frac{2}{3}* \times }}[/tex]

_ _ _ _ _ _ _ _ _ _ _ _

Therefore, the amount of win is [tex] \tt{.50 = \frac{2}{3}* \times }[/tex]

[tex] \large\tt{From: \: \#Brainly.PH}[/tex]

┈──────────────────────────┈