Conditional Probability

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

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).

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

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

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).

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

The probability of an event occuring given that another event has already occured is called

• Independent Events

• Conditional Probability

• Dependent Events

• FPC

The outcome of one event does influence the outcome of the other event.

• mutually exclusive event

• probability

• dependent event

• simple probability

P(Pizza ∩ Water) =

• 62/182

• 120/400

• 58/400

• 140/400

According to the two-way table, a person who plays an instrument is most likely to:

• Not play an instrument

• Not play a team sport

• Play a team sport

• All of the above