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Chapter 3: Q. 35 (page 217)
What is conditional probability?
The likelihood of receiving event A if event B has already happened is known as conditional probability.
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Fifty percent of the workers at a factory work a second job, 25% have a spouse who also works, 5% work a second job and have a spouse who also works. Draw a Venn diagram showing the relationships. Let W = works a second job and S = spouse also works.
Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, prefer life in prison without parole over the death penalty for a person convicted of first degree murder. of all Californians are Latino. In this problem, let: • C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.
In words, what is L OR C?
Use the following information to answer the next six exercises. There are countries in North America, countries in
South America, countries in Europe, countries in Asia, countries in Africa, and in Oceania (Pacific Ocean
region).
Let A = the event that a country is in Asia.
Let E = the event that a country is in Europe.
Let F = the event that a country is in Africa.
Let N = the event that a country is in North America.
Let O = the event that a country is in Oceania.
Let S = the event that a country is in South America.
Find P(S).
Use the following information to answer the next six exercises. A jar of jelly beans contains 22 red jelly beans,
yellow, green, purple, blue, and the rest are orange.
Let B = the event of getting a blue jelly bean
Let G = the event of getting a green jelly bean.
Let O = the event of getting an orange jelly bean.
Let P = the event of getting a purple jelly bean.
Let R = the event of getting a red jelly bean.
Let Y = the event of getting a yellow jelly bean.
Find P(O).
In a bag, there are six red marbles and four green marbles. The red marbles are marked with the numbers 1, 2, 3,4, 5, and 6. The green marbles are marked with the numbers 1, 2, 3, and 4.
• R = a red marble
• G = a green marble
• O = an odd-numbered marble
• The sample space is S = {R1, R2, R3, R4, R5, R6, G1, G2, G3, G4}.
S has ten outcomes. What is P(G AND O)?
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