Quiz about Conditional Probability

Question 1

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

Accepted Answer

$$\frac{4}{27}$$

Answer

$$\frac{4}{9}$$

Answer

$$\frac{4}{12}$$

Answer

$$\frac{9}{27}$$

Question 2

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

Accepted Answer

$$\frac{4}{12}$$

Answer

$$\frac{4}{27}$$

Answer

$$\frac{4}{9}$$

Answer

$$\frac{4}{5}$$

Question 3

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

Accepted Answer

$$\frac{8}{18}$$

Answer

$$\frac{12}{27}$$

Answer

$$\frac{8}{12}$$

Answer

$$\frac{8}{27}$$

Question 4

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

Accepted Answer

$$\frac{5}{15}$$

Answer

$$\frac{5}{9}$$

Answer

$$\frac{5}{27}$$

Answer

$$\frac{9}{15}$$

Question 5

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 6

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 7

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

Accepted Answer

$$\frac{138}{378}$$

Answer

$$\frac{63}{32}$$

Answer

$$\frac{63}{138}$$

Answer

$$\frac{240}{378}$$

Question 8

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

Accepted Answer

$$\frac{41}{240}$$

Answer

$$\frac{59}{378}$$

Answer

$$\frac{41}{59}$$

Answer

$$\frac{41}{378}$$

Question 9

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

Accepted Answer

$$\frac{25}{77}$$

Answer

$$\frac{25}{138}$$

Answer

$$\frac{25}{378}$$

Answer

$$\frac{77}{138}$$

Question 10

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Conditional Probability

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