Understanding Conditional Probabilities with Two-Way Tables

What does conditional probability measure?

• The likelihood of two independent events occurring together

• The probability of an event not occurring

• The probability of an event given that another event has occurred

• The total probability of two events occurring in sequence

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What is the formula for conditional probability?

• P(A and B) / P(A)

• P(B given A) = P(A and B) / P(A)

• P(A) / P(B)

• P(A or B) / P(A)

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In the context of the example, what does the probability of brown hair given female represent?

• The probability of being female given the person has brown hair

• The probability of having brown hair given the person is female

• The probability of having brown hair without considering gender

• The likelihood of being female when the person has brown hair

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How do you calculate the probability of an intersection from a two-way table?

• Add the probabilities of each event

• Divide the count of the intersection by the total count

• Multiply the probabilities of each event

• Find the count at the intersection and divide by the total

What is the significance of using counts directly from a two-way table in calculating conditional probabilities?

• It simplifies the calculation by eliminating complex fractions

• It provides more accurate results than using probabilities

• It is required by statistical laws

• It avoids the need for a table altogether

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CCSS.8.SP.A.4

What was the probability of survival for first-class passengers on the Titanic?

• 0.298

• 0.645

• 0.375

• 0.252

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What does the probability of survived given first class indicate?

• Chance of being in first class regardless of survival

• Chance of survival if not in first class

• Chance of survival if in first class

• Chance of being in first class if survived

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How does the survival probability of third-class passengers compare to that of first-class passengers?

• Higher for third-class

• Data not available for comparison

• Lower for third-class

• The same for both classes

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What was the survival rate for third-class passengers on the Titanic?

• 25.2%

• 29.8%

• 64.5%

• 50%

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What percentage of Titanic survivors were crew members?

• 64.5%

• 29.8%

• 50%

• 25.2%

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