Exploring Conditional Probability Concepts

The video tutorial covers the concept of conditional probability, starting with the formula and its application. It explains how to use sample space to visualize and calculate probabilities, followed by an exploration of two-way tables to find conditional probabilities. The tutorial concludes with a practical example of using probabilities to make decisions, emphasizing the importance of data analysis in probability.

What is the formula for conditional probability?

• P(A and B) / P(A)

• P(A or B) / P(A)

• P(A) / P(B)

• P(B | A) = P(A and B) / P(A)

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CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

In the pet selection example, how many total outcomes are possible?

• 12

• 6

• 24

• 4

What type of probability is used when analyzing data from a two-way table?

• Experimental

• Theoretical

• Objective

• Subjective

What is the probability of a part passing given it was defective?

• 1/3

• 1/12

• 3/39

• 1/13

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CCSS.HSS.CP.B.6

What is the probability of finding a failing part given it was non-defective?

• 11/461

• 1/42

• 1/461

• 10/461

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CCSS.HSS.CP.B.6

What is the probability of a part being defective and still passing?

• 11/461

• 1/13

• 3/39

• 1/3

What was the probability that a person did not survive the Titanic?

• 0.691

• 0.309

• 0.52

• 0.149

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CCSS.7.SP.C.5

What percentage of non-survivors were female in the Titanic dataset?

• 5.2%

• 48.22%

• 7.5%

• 69.1%

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CCSS.8.SP.A.4

What is the probability of a female surviving given they survived on the Titanic?

• 69.1%

• 48.22%

• 7.5%

• 30.9%

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CCSS.HSS.CP.A.4

Which route should the jogger choose to maximize her probability of reaching her goal?

• Route A

• Route B

• Route C

• All routes are equally likely

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CCSS.7.SP.C.8C