K \( 10(5.1,5.2) \) Choose the correct answer below. A. As the number of repetitions of a probability experiment increases, the proportion with which a certain outcome is observed gets closer to 0 . Casinos use the Law of Large Numbers to determ how many players gamble in certain games. B. As the number of repetitions of a probability experiment increases, the proportion with which a certain outcome is observed gets gambling casinos? make a profit in the long run because they have a small statistical advantage in each game. C. This applies to casinos because they are able to 1 Large number of repetitions of a probability experiment increases, the proportion with which a certain outcome is observed gets closer to the the probability of the outcome. Casinos use the Law players gamble in certain games. D. As the number of repetitions of a probability experiment increases, the proportion with which a certain outcome is observed gets closer to the probability of the outcome. This applies to casino: because they are able to make a profit in the long run because they have a small statistical advantage in each game.
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Beyond the Answer
Casinos, those glittering temples of chance, have a long history of employing probability and statistics to ensure their profitability. The Law of Large Numbers tells us that the more times a game is played, the closer the outcomes will be to the expected probabilities. This is how casinos thrive; they rely on this statistical principle to predict how games will perform over time, ultimately keeping their profit margins intact. In practice, understanding the Law of Large Numbers can help players gauge their own strategies. Many gamblers think they can outwit the system with short-term luck, but the reality is that in the long run, the house edge prevails. Players who understand that the more they play, the closer their results will align with the game's probabilities can better manage their expectations and potentially minimize losses during those inevitable streaks of bad luck.
