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.)
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.
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