## g In American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, …, 34, 35, and 36, marked on equally spaced slots. If a player bets $1 Question g In American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, …, 34, 35, and 36, marked on equally spaced slots. If a player bets$1 on a number and wins, then the player keeps the dollar and receives an additional $35. Otherwise, the dollar is lost. Calculate the expected value for the player to play one time. Round to the nearest cent. in progress 0 1 week 2021-10-08T05:32:33+00:00 1 Answer 0 ## Answers ( ) 1. Answer: The expected value for the player to play one time is -$0.05.

Step-by-step explanation:

The expected value of a random variable X is given by the formula: The American roulette wheel has the 38 numbers, {i = 00, 0, 1, 2, …, 34, 35, and 36}, marked on equally spaced slots.

The probability that the ball stops on any of these 38 numbers is same, i.e.

P (X = i) = .

It is provided that a a player bets $1 on a number. If the player wins, the player keeps the dollar and receives an additional$35.

And if the player losses, the dollar is lost too.

So, the probability distribution is as follows:

X : $35 -$1

P (X) :  Compute the expected value of the game as follows:  Thus, the expected value for the player to play one time is -\$0.05.