Conditional Probability: Venn, Tree Diagrams, Tables

Front

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

What is the formula for Conditional Probability?

Back

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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.

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CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What does P(B | A) represent?

Back

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

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CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is the complement of an event?

Back

The complement of an event A, denoted as A', is the event that A does not occur.

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CCSS.HSS.CP.A.1

Front

How do you calculate the probability of the complement of an event?

Back

The probability of the complement of an event A is calculated as P(A') = 1 - P(A).

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CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is a Venn Diagram?

Back

A Venn Diagram is a visual representation of the relationships between different sets, often used to illustrate the concept of conditional probability.

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CCSS.7.SP.C.8B

Front

What is a Tree Diagram?

Back

A Tree Diagram is a graphical representation used to show all possible outcomes of a probability experiment, illustrating the paths of events.

Tags

CCSS.7.SP.C.8B

Front

How do you use a Table to represent probabilities?

Back

A probability table organizes the probabilities of different events and their combinations, making it easier to calculate conditional probabilities.

Front

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

Back

The probability is 0.2222.

Tags

CCSS.HSS.CP.B.6