Conditional Probability 10.3 -Math 2

. What is the probability that a student has a brother given that they do not have a sister?

*Write your answer as a fraction*

What is the probability that a student plays a sport given that they play an instrument?

*Write your answer as a fraction*

What is the probability that a student plays a sport or that they play an instrument?

*Write your answer as a fraction*

P(A∣B)=

• P(A and B)/P(A)

• P(A and B)/P(B)

• P(A or B)/P(A)

• P(A or B)/P(B)

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7

What is P(Ace given hearts)?

*convert your fraction to a percentage*

• 1.9%

• 7.7%

• 25%

• 6.3%

A number is selected, at random, from the set {1, 2, 3, 4, 5, 6, 7, 8}.

Find P(odd given less than 7).

• 1/2

• 3/8

• 4/7

• 1/4

A box contains 3 blue marbles, 5 red marbles, and 4 white marbles. Find P(blue given not white).

• 3/8

• 1/4

• 5/12

• 5/8

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 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?