Conditional Probability

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'.

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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 is the complement of an event A?

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

What are Independent Events?

Back

Independent Events are two events where the occurrence of one event does not affect the occurrence of the other.

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CCSS.HSS.CP.A.5

Front

What are Dependent Events?

Back

Dependent Events are two events where the occurrence of one event affects the occurrence of the other.

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CCSS.HSS.CP.A.5

Front

How do you calculate the probability of two independent events A and B occurring together?

Back

For independent events, the probability of both A and B occurring is given by P(A and B) = P(A) * P(B).

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CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the probability of an event that is certain to happen?

Back

The probability of an event that is certain to happen is 1.

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CCSS.7.SP.C.5

Front

What is the probability of an impossible event?

Back

The probability of an impossible event is 0.

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CCSS.7.SP.C.5

Front

If P(A) = 0.3 and P(B) = 0.5, what is P(A and B) if A and B are independent?

Back

If A and B are independent, then P(A and B) = P(A) * P(B) = 0.3 * 0.5 = 0.15.

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CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4