Answer to Question #266646 in Statistics and Probability for Jannat

Question

the roulette has 43 pockets (20 red, 20 black, and three green pockets). assume you lose the whole bet if the ball falls into a pocket with a different color. 1) how much money do you lose in the long run per game if you always bet 10 euro on the green color playing version y? (win: +100 euro | lose: -10 euro) (1p.)

Answer 1

Chance of green color falling out $\frac{3}{43}$, chance of non-falling out $\frac{40}{43}$. Calculate the mathematical expectation:

$E=\frac{3}{43}\cdot100-\frac{40}{43}\cdot 10=-\frac{100}{43}$

Answer: $\frac{100}{43}$ euro will lose in the long run.