A Nevada roulette wheel had 38 pockets, labeled as 0 00 1 2 3 ... 35 36. One bet is single number. If you bet $1 on a number (any one between 1 and 36) and the number comes up, you get the dollar back together with $35 in winnings; otherwise, you lose your dollar.

A.) Find the probability model of your net gain.

B.) Find the mean of your net gain for one bet.

-0.0526

Step-by-step explanation:

Let X be the random variable denoting the net gain(in dollars) for a single trial(one bet).

Assuming that each number in the wheel is equally likely, probability of the outcome being a victory is and probability of failure is . For a win, X takes value 35 and for a loss X takes value -1. So the model is,

The mean for one bet is

the area of the rectangle is 35units^2.

step-by-step explanation:

graph it and find the distance.

it is a 5*7 rectangle.

therefore the area is 35units^2.