SOLUTION: A roulette wheel has 18 red, 18 black, and 2 green slots. one dollar bet on black wins one dollar. find the expected value for a $10 bet. if 1000 people each make a $10 bet on blac

Algebra ->  Probability-and-statistics -> SOLUTION: A roulette wheel has 18 red, 18 black, and 2 green slots. one dollar bet on black wins one dollar. find the expected value for a $10 bet. if 1000 people each make a $10 bet on blac      Log On


   



Question 820924: A roulette wheel has 18 red, 18 black, and 2 green slots. one dollar bet on black wins one dollar. find the expected value for a $10 bet. if 1000 people each make a $10 bet on black, how much does the casino expect to make?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
A roulette wheel has 18 red, 18 black, and 2 green slots. one dollar bet on black wins one dollar. find the expected value for a $10 bet on black.
18 successful slots out out of 38, a probability of winning is 18%2F38 = 9%2F19

Expected value for the player = (Amount won)(Probability of winning) = $10%289%2F19%29 = $4.74

Therefore the expected value for the casino is $10.00-$4.74 = $5.26 

if 1000 people each make a $10 bet on black, how much does the casino expect to make?

$5.26×1000 = $5260

Edwin