Exploring Conditional Probability and Independence

What does it mean for two events to be independent?

• Neither event can occur.

• One event occurring changes the probability of the other event.

• One event occurring does not change the probability of the other event.

• Both events must occur simultaneously.

Tags

CCSS.HSS.CP.A.5

How many female students preferred English according to the class data?

• 5

• 2

• 10

• 8

Tags

CCSS.8.SP.A.4

What is the total number of students surveyed?

• 22

• 25

• 15

• 20

Tags

CCSS.6.SP.B.5A

What is the probability of selecting a student who prefers English?

• 10/22

• 12/22

• 7/22

• 15/22

Tags

CCSS.7.SP.C.7B

What is the probability of selecting a student who is not female?

• 10/22

• 12/22

• 15/22

• 7/22

Tags

CCSS.7.SP.C.7B

What is the probability of selecting a female student who does not prefer English?

• 2/22

• 5/22

• 10/22

• 7/22

Tags

CCSS.8.SP.A.4

What is the probability that a student prefers English given that they are female?

• 50%

• 60%

• 80%

• 70%

Tags

CCSS.HSS.CP.A.4

What is the probability that a student prefers English given that they are male?

• 58.3%

• 50%

• 80%

• 70%

Tags

CCSS.HSS.CP.A.4

Are the events of being female and preferring English independent?

• They are mutually exclusive.

• They are complementary.

• No, they are dependent.

• Yes, they are independent.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

What does the notation P(A/B) represent?

• Probability of neither event A nor B occurring.

• Probability of both events A and B occurring.

• Probability of event A given event B occurs.

• Probability of event B given event A occurs.

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5