a roulette wheel has 18 reds, 18 blacks, and 2 greens. if the ball lands on red, you win and if it lands on another color, you lose. you play roulette 100 times in a row and count how many times you win. what is the expected value of the number of wins? express your answer as a decimal, fraction, or simple mathematical expression. your fraction does not need to be reduced. if your answer is in decimal, make sure to include at least 3 non-zero digits after the decimal point.

From the question, we got information of the wheel color and total roulette will be played.
Number of reds balls : 18
Number of black balls : 18
Number of green balls : 2
Total number of balls : 18 + 18 + 2 = 38

Total roulette will be played 100 times

First step, calculate the probability of reds or win would be picked for the roulette. Probability of winning can be calculated by total of reds balls divided by total number of balls:

total number of reds/total number of balls = 18/38 = 9/19

Second step, calculate the expected value of the number of wins. Expected value of the number of wins can be calculated by multiply the probability and total roulette will be played:

probability x total roulette will be played = 9/19 x 100 = 900/19 = 47,368

Learn more about probability here : https://brainly.com/question/11234923

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