Conditional Probability Independence Multiplicative Rules

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 

• 27/40

• 1.48

• .008

• .0593

What is the probability that the person picked will be a boy given they speak german? 

• .7273

• .4

• .16

• .22

The probability that a woman likes the color blue is 10%. The probability of being a women is 40%. What is the probability that someone who likes blue is chosen given they are a woman? 

• 4

• 0.4

• 0.1

• 0.25

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 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?

Determine if the events A and B are independent or dependent. P(A) = .36, P(B) = .20, P (A and B) = 0.072

• Dependent

• Independent

• Neither

Find P(Sophomore |Pass)

• 17/20

• 17/50

• 9/25

• 3/20

If A and B are independent, which statement must be true?

• P(A∩B) = 0

• P(A|B) = P(A)

• P(A∪B) = 0

• P(A) + P(B) = 1

The outcome of one event does not influence the outcome of the other event.

• independent event

• tree diagram

• simple event

• odds

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

• mutually exclusive event

• probability

• dependent event

• simple probability