Conditional Probability

P(A∣B)=

• P(A⋂B)/P(A)

• P(A⋂B)/P(B)

• P(A⋃B)/P(A)

• P(A⋃B)/P(B)

What is the probability that a student does play a sport given they do not play an instrument? 

• .2

• .2222

• .10

• .5

Find P( Full-time | Male)

• 7/3

• 3/10

• 3/7

• 4/7

Find P( Female | Part-time) =

• 15/31

• 43/71

• 31/43

• 15/43

• 1
• 2
• 3
• 4

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).

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).

Mathematical Equivalence

ON

Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.

Determine if the events M and S are independent.

• Independent

• Not Independent

P(J | C)

Mathematical Equivalence

ON