An American roulette wheel contains 38 slots. Eighteen of the slots are colored red and eighteen are colored black. The remaining two slots are colored green. A ball is spun on the wheel and comes to
rest in one of the 38 slots. If you bet $1 on the color red and win, the house pays you $1 (even
money).
What is the expected value of betting on red?
$1
0-$1
-$5.30
-$0.053

- $0.053

Step-by-step explanation:

Bet fee = $1

Probability of red = 18 / 38

Probability of black = 18/38

Probability of green = 2 / 38

x : 1 - 1 - 1

P(x) : __ 18/38___ 18/38 2/38

Mean or expected value, E(X) = Σx*p(x) = (18/38) * * (-18/38) * (-2/38)

E(X) = - 0.052631

E(X) = - $0.053

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1