Dec 12 B! BW Types of Probability

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What is classical probability?

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Classical probability is the likelihood of an event occurring based on the assumption that all outcomes are equally likely. It can be calculated using the formula: P(E) = Number of favorable outcomes / Total number of outcomes.

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What is empirical probability?

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Empirical probability is the likelihood of an event occurring based on experimental data or past observations. It is calculated using the formula: P(E) = Number of times event E occurs / Total number of trials.

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What is subjective probability?

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Subjective probability is the likelihood of an event occurring 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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P(rolling a 3) = 1/6.

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Example of empirical probability: If a coin is flipped 100 times and lands on heads 55 times, what is the empirical probability of getting heads?

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P(heads) = 55/100 = 0.55.

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Example of subjective probability: A student believes there is a 70% chance of passing a math test based on their study habits. What type of probability is this?

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Subjective probability.

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What is the formula for calculating classical probability?

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P(E) = Number of favorable outcomes / Total number of outcomes.

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What is the formula for calculating empirical probability?

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P(E) = Number of times event E occurs / Total number of trials.

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What is the difference between classical and empirical probability?

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Classical probability is based on theoretical outcomes, while empirical probability is based on actual experiments and observed data.

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Can subjective probability be quantified?

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No, subjective probability is based on personal judgment and cannot be precisely quantified.