Conditional Probability Practice

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

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(Male | Full Time) represent?

Back

P(Male | Full Time) represents the probability that a student is male given that they are a full-time student.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

If a die is rolled, what is P(2 | number greater than 3)?

Back

P(2 | number greater than 3) = 0, because the outcome '2' cannot occur if the condition is that the number is greater than 3.

Tags

CCSS.HSS.CP.B.6

Front

What is the formula for finding the probability of an event A given event B?

Back

The formula is P(A | B) = P(A ∩ B) / P(B).

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What does P(Pizza | Senior) mean?

Back

P(Pizza | Senior) means the probability that a student eats pizza given that they are a senior.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What is the significance of the denominator in conditional probability?

Back

The denominator P(B) in the formula P(A | B) represents the total probability of event B occurring, which normalizes the probability of A.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

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

Back

The probability is 0.22, indicating that there is a 22% chance a student plays a sport under the given condition.

Tags

CCSS.HSS.CP.B.6

Front

What does the notation P(A ∩ B) signify?

Back

P(A ∩ B) signifies the probability that both events A and B occur simultaneously.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the probability of a student who does community service given that they do not play sports?

Back

Tags

CCSS.HSS.CP.B.6