Conditional Probability Practice

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What is Conditional Probability?

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Conditional Probability is the probability of an event occurring given that another event has already occurred. It is denoted as P(A | B), which reads as 'the probability of A given B.'

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How is Conditional Probability calculated?

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Conditional Probability is calculated using the formula: P(A | B) = P(A ∩ B) / P(B), where P(A ∩ B) is the probability of both events A and B occurring.

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What does P(Male | Full Time) represent?

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P(Male | Full Time) represents the probability that a student is male given that they are a full-time student.

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If a die is rolled, what is P(2 | number greater than 3)?

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P(2 | number greater than 3) = 0, because the outcome '2' cannot occur if the condition is that the number is greater than 3.

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What is the formula for finding the probability of an event A given event B?

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The formula is P(A | B) = P(A ∩ B) / P(B).

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What does P(Pizza | Senior) mean?

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P(Pizza | Senior) means the probability that a student eats pizza given that they are a senior.

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What is the significance of the denominator in conditional probability?

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The denominator P(B) in the formula P(A | B) represents the total probability of event B occurring, which normalizes the probability of A.

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What is the probability that a student plays a sport given they do not play an instrument?

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The probability is 0.22, indicating that there is a 22% chance a student plays a sport under the given condition.

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What does the notation P(A ∩ B) signify?

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P(A ∩ B) signifies the probability that both events A and B occur simultaneously.

Front

What is the probability of a student who does community service given that they do not play sports?

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