Conditional Probability Worksheet



Conditional Probability 5.3 B

1) If P(E∩F)=0.042, P(E|F)=0.14, and P(F|E)=0.7, then find the following probabilities:

a) P(E)

b) P(F)

c) P(EUF)

2. The probability that Sue will go to Mexico in the winter and to France

in the summer is [pic]. The probability that she will go to Mexico in

the winter is [pic]. Find the probability that she will go to France this

summer, given that she just returned from her winter vacation in

Mexico.

3. State banking officials claim that the probability that a person in Newberg has a checking account is 0.86 and the probability that the person has a checking account as well as overdraft privileges is 0.35. (Overdraft privileges allow customers to write checks for amounts that exceed their current balance.) If a resident in Newberg who has a checking account is randomly selected, what is the probability that the customer also has overdraft privileges?

4. Seventy-seven percent of the medium-sized companies doing business in Brooklyn provide their CEO’s with desktop computers. Moreover, 30% of these companies provide a laptop given they have provided a desktop. What is the probability that a CEO gets a desktop and a laptop?

5. Twenty-four percent of the employees of a large publishing company are female sales personnel. Forty-seven percent of the workers are sales personnel. If a salesperson comes to a particular school promoting a book, what is the probability that this person is female?

6. In a certain college, 25% of the boys and 10% of the girls are on scholarships. The girls constitute 60% of the student body. If a student is chosen at random, find the probability of the following. Make a contingency table.

a) that the person is a boy b) that the person is on a scholarship

c) Given that the person is a boy, d) Given that the person is on a scholarship,

find the probability that he is on a scholarship. find the probability that he is a boy.

e) Given that the person is not on a scholarship f) that the person is a boy or on scholarship

find the probability that she is a girl.

g) Show work to determine if having a scholarship is independent of being a girl.

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