You read in a book about bridge that the probability that...

You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is about 0.11. This means that (a) in every 100 bridge deals, each player has one ace exactly 11 times. (b) in one million bridge deals, the number of deals on which each player has one ace will be exactly 110,000. (c) in a very large number of bridge deals, the percent of deals on which each player has one ace will be very close to 11%.(d) in a very large number of bridge deals, the average number of aces in a hand will be very close to 0.11. (e) None of these

You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is about 0.11. This means that (a) in every 100 bridge deals, each player has one ace exactly 11 times.
(b) in one million bridge deals, the number of deals on which each player has one ace will be exactly
110,000. (c) in a very large number of bridge deals, the percent of deals on which each player has one ace will be very close to 11%.(d) in a very large number of bridge deals, the average number of aces in a hand will be very close to 0.11. (e) None of these

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Key Concepts

Frequency Interpretation of Probability

The frequency interpretation of probability views it as the long-run relative frequency of an event occurring in repeated independent trials. In other words, if an event has a probability of 0.11, then as the number of trials grows very large, about 11% of the trials will result in that event occurring.

Law of Large Numbers

The Law of Large Numbers is a fundamental theorem in probability which states that as an experiment or trial is repeated many times, the average of the results will converge to the expected value. This concept underpins the idea that percentages or probabilities (like 11% in this case) become more accurate with a larger sample size.

Probability

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1 (or as a percentage). It provides a quantitative way to predict how often a particular outcome is expected to occur over many repetitions of an experiment or a game scenario.

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