Arecent study of educational achievement across the United States shows that for Americans over the age of 25, 90% have

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Arecent study of educational achievement across the United States shows that for Americans over the age of 25, 90% have a high school diploma, and 35% have a high school diploma AND a college degree. (source). What is the probability that a randomly chosen American has a college degree GIVEN that they have graduated from high school?

Let's say there are two events that we will call A and B and P(A) = 0.4 and P(A and B) = 0.32. If the events A and B are independent, what is the probability of event B?

A survey commissioned by the American Association of Retired Persons (AARP) asked retirees about their favorite TV shows. 70% of respondents said they like I Love Lucy, 85% of respondents like The Ed Sullivan Show, and 65% of respondents said they like both shows. What is the probability that a randomly chosen respondent likes EITHER I Love Lucyor The Ed Sullivan Show?

Arandom variable Y can take on the values 2,4,6, or 12. If P(Y = y) = 1, then what is the variance of Y?