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10 questions
What is the probability that a randomly selected student plays sports and does not participate in community service?
$\frac{4}{9}$
$\frac{4}{12}$
$\frac{4}{27}$
$\frac{9}{27}$
What is the probability that a randomly selected student plays sports given that they do not do community service?
$\frac{4}{27}$
$\frac{4}{12}$
$\frac{4}{9}$
$\frac{4}{5}$
What is the probability that a randomly selected student does not do community service if they do not play sports?
$\frac{12}{27}$
$\frac{8}{12}$
$\frac{8}{27}$
What is the probability that a student plays sports given that they do community service?
$\frac{5}{15}$
$\frac{5}{9}$
$\frac{5}{27}$
$\frac{9}{15}$
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).
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?
What is the probability that a randomly selected student is not in a club?
$\frac{63}{32}$
$\frac{138}{378}$
$\frac{63}{138}$
$\frac{240}{378}$
What is the probability that a student takes Latin given that they participate in a club?
$\frac{59}{378}$
$\frac{41}{59}$
$\frac{41}{378}$
$\frac{41}{240}$
What is the probability that a student does not participate in a club given that they take sign language?
$\frac{25}{138}$
$\frac{25}{77}$
$\frac{25}{378}$
$\frac{77}{138}$
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).
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