Dec 12 B2 BW Types of Probability

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What is classical probability?

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Classical probability is the type of probability that is calculated based on the assumption that all outcomes are equally likely. It is often used in situations with a finite number of outcomes, such as rolling a die or flipping a coin.

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What is empirical probability?

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Empirical probability is the type of probability that is calculated based on the results of an experiment or observation. It is determined by conducting an experiment and observing the outcomes.

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What is subjective probability?

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Subjective probability is the type of probability that is based on personal judgment, intuition, or experience rather than on exact calculations or experiments.

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Example of classical probability: What is the probability of rolling a 3 on a fair six-sided die?

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The probability is 1/6, as there is one favorable outcome (rolling a 3) out of six possible outcomes.

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Example of empirical probability: If a coin is flipped 100 times and lands on heads 45 times, what is the empirical probability of getting heads?

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The empirical probability of getting heads is 45/100 or 0.45.

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Example of subjective probability: A teacher believes that 70% of her students will pass the exam based on her observations. What type of probability is this?

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This is an example of subjective probability.

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What is the formula for calculating classical probability?

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Classical probability = (Number of favorable outcomes) / (Total number of possible outcomes).

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What is the difference between empirical and classical probability?

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Empirical probability is based on actual experiments and observed data, while classical probability is based on theoretical assumptions of equally likely outcomes.

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If a bag contains 3 red balls and 2 blue balls, what is the classical probability of drawing a red ball?

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The classical probability of drawing a red ball is 3/5.

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What is the role of prior knowledge in subjective probability?

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Prior knowledge plays a crucial role in subjective probability as it influences an individual's judgment and estimation of the likelihood of an event.