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  • Calculating the Probability of Exactly One Head in Three Coin Flips

True/False

The probability of obtaining exactly one 'Heads' in three fair coin flips is identical to the probability of obtaining exactly two 'Heads' in three fair coin flips.

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Updated 2025-10-09

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Ch.3 Prompting - Foundations of Large Language Models

Foundations of Large Language Models

Computing Sciences

Foundations of Large Language Models Course

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Cognitive Psychology

Psychology

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Empirical Science

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Related
  • Applying the Binomial Formula for One Head in Three Flips

  • A student is trying to calculate the probability of getting exactly two heads from three fair coin flips. Their reasoning is as follows: 'There are 8 total possible outcomes (2 outcomes per coin for 3 coins, so 2x2x2=8). For the favorable outcome, we need two heads and one tail, such as HHT. Therefore, there is only one favorable outcome. The probability is 1/8.' Which statement best analyzes the error in this reasoning?

  • Quality Control Probability

  • The probability of obtaining exactly one 'Heads' in three fair coin flips is identical to the probability of obtaining exactly two 'Heads' in three fair coin flips.

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