Probability Conditional

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

What is the probability that they speak French given they are a girl? 

• 2.14

• .24

• .4

• .8571

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

• .2

• .2222

• .10

• .5

Mathematical Equivalence

ON

Are the events "takes Spanish" and "participates in a club" independent events?

• Yes, because P(S) is the same as P(S given C).

• No, because P(S) is not the same as P(S given C).

• Yes, because P(S) is the same as P(C given S).

• No, because P(S) is not the same P(C given S).

What fraction represents the conditional probability of P(C | F)? Do not convert your answer to a decimal. Just write the fraction.

Mathematical Equivalence

ON

Answer explanation

What fraction represents the conditional probability of P(C | F)?

===== ===== ===== =====

8 = # of Croc wearing female students

13 = # of female students

P(C | F) = 8/13

• 1
• 2
• 3
• 4

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

Are the events "Sports" and "Community Service" independent?

• Yes, because P(S) is the same as P(S Given CS).

• No, because P(S) is not the same as P(S Given CS).

• Yes, because P(S) is the same as P(CS Given S).

• No, because P(S) is not the same as P(CS Given S).