Question

expected value
what is the expected value? should you play the game?

• 3/13 points, no, you should not play the game

for what expected value is a game fair?
e(x) < 0
correct answers:
e(x) = 0
what value for the aces would make the game fair? to find this, solve the equation:
0 = \frac{4}{52}(x)+\frac{48}{52}(-1)
points

Explanation:

Step1: Solve the equation for \(x\)

We have the equation \(0=\frac{4}{52}(x)+\frac{48}{52}(- 1)\).
First, simplify the fractions: \(\frac{4}{52}=\frac{1}{13}\) and \(\frac{48}{52}=\frac{12}{13}\).
The equation becomes \(0 = \frac{1}{13}x-\frac{12}{13}\).
Add \(\frac{12}{13}\) to both sides: \(\frac{1}{13}x=\frac{12}{13}\).

Step2: Isolate \(x\)

Multiply both sides of the equation \(\frac{1}{13}x=\frac{12}{13}\) by \(13\).
We get \(x = 12\).

Answer:

\(12\)