Conditional Probability Review

​1. Find P(Bachelor's Given Female)

2. Find P(Male|Master's)

3. Find P(Doctorate|Female)

Multiple Choice

What is the formula for Conditional Probability?

• $$P\left(A|B\right)=\frac{P\left(A\cap B\right)}{P\left(A\right)}$$  

• $$P\left(B|A\right)=\frac{P\left(A\cap B\right)}{P\left(B\right)}$$  

• $$P\left(A|B\right)=\frac{P\left(A\cap B\right)}{P\left(B\right)}$$  

• $$P\left(A|A\right)=\frac{P\left(A\cap A\right)}{P\left(B\right)}$$  

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

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

• $$\frac{59}{378}$$

• $$\frac{41}{59}$$

• $$\frac{41}{378}$$

• $$\frac{41}{240}$$

Multiple Choice

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

• $$\frac{25}{138}$$

• $$\frac{25}{77}$$

• $$\frac{25}{378}$$

• $$\frac{77}{138}$$

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

P(Pizza ∩ Water) =

• 62/182

• 120/400

• 58/400

• 140/400

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