6.3 Conditional Probability

Multiple Choice

What is the probability that a randomly selected student plays sports given that they do not do community service?

• $$\frac{4}{27}$$

• $$\frac{4}{12}$$

• $$\frac{4}{9}$$

• $$\frac{4}{5}$$

Multiple Choice

What is the probability that a student plays sports given that they do community service?

• $$\frac{5}{15}$$

• $$\frac{5}{9}$$

• $$\frac{5}{27}$$

• $$\frac{9}{15}$$

Multiple Choice

P(Sandals|Pants):

• 4/20

• 6/15

• 1/2

• 4/14

Multiple Choice

P(Pizza|Senior):

• 15/10

• 4/5

• 10/15

• 10/5

Multiple Choice

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

Multiple Choice

The probability that a women likes the color blue is 10%. The probability of being a women is 40%. What is the probability that the a women is chose given they liked the color blue? 

• 4

• .4

• .1

• .25