Conditional Probability

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

• $\frac{4}{9}$

• $\frac{4}{12}$

• $\frac{4}{27}$

• $\frac{9}{27}$

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.ID.B.5

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

• $\frac{4}{27}$

• $\frac{4}{12}$

• $\frac{4}{9}$

• $\frac{4}{5}$

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.ID.B.5

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

• $\frac{12}{27}$

• $\frac{8}{12}$

• $\frac{8}{27}$

• 
  

  $\frac{8}{18}$
  

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.ID.B.5

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

• $\frac{5}{15}$

• $\frac{5}{9}$

• $\frac{5}{27}$

• $\frac{9}{15}$

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.ID.B.5

Are the events "Sports" and "Community Service" independent?

• Yes, because P(S) is the same as P(S|CS).

• No, because P(S) is not the same as P(S|CS).

• Yes, because P(S) is the same as P(CS|S).

• No, because P(S) is not the same as P(CS|S).

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.A.5

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

The answer $\frac{10}{18}$   is to the question:

• What is the probability of a student who does community service and does not play sports?

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

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

• What is the probability of a student who does not play sports or does not do community service?

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.ID.B.5

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

• $\frac{63}{32}$

• $\frac{138}{378}$

• $\frac{63}{138}$

• $\frac{240}{378}$

Tags

CCSS.HSS.CP.A.1

What is the probability that a student takes Latin given that they participate in a club?

• $\frac{59}{378}$

• $\frac{41}{59}$

• $\frac{41}{378}$

• $\frac{41}{240}$

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.ID.B.5

What is the probability that a student does not participate in a club given that they take sign language?

• $\frac{25}{138}$

• $\frac{25}{77}$

• $\frac{25}{378}$

• $\frac{77}{138}$

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.ID.B.5

Are the events "takes Spanish" and "participates in a club" independent events?

• Yes, because P(S) is the same as P(S|C).

• No, because P(S) is not the same as P(S|C).

• Yes, because P(S) is the same as P(C|S).

• No, because P(S) is not the same P(C|S).

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8