Conditional Probability

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What is Conditional Probability?

Back

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'.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

How is Conditional Probability calculated?

Back

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.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What does P(A|B) represent?

Back

P(A|B) represents the probability of event A occurring given that event B has occurred.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is the formula for the probability of the complement of an event?

Back

The probability of the complement of an event A is given by P(A') = 1 - P(A), where A' is the complement of A.

Tags

CCSS.7.SP.C.5

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What is the relationship between independent events and conditional probability?

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For independent events A and B, P(A|B) = P(A). This means the occurrence of B does not affect the probability of A.

Tags

CCSS.HSS.CP.A.3

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What is the probability that a randomly selected student does not do community service if they do not play sports?

Back

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CCSS.HSS.CP.B.6

Front

What is the probability that a randomly selected student is not in a club?

Back

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CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the probability that a randomly selected student plays sports given that they do not do community service?

Back

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CCSS.HSS.CP.B.6

Front

What is the probability that a randomly selected student plays sports and does not participate in community service?

Back

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CCSS.HSS.CP.A.1

Front

What is the probability that a student plays sports given that they do community service?

Back

Tags

CCSS.HSS.CP.A.5

CCSS.HSS.CP.A.3