AP Statistics - Probability Rules

The table displayed is for the members of the U.S. Senate. If a U.S. Senator was selected at random, what is the probability that the senator is a Democrat?

• .6
• .47
• .36
• .40

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.CP.A.4

The table displayed is for the members of the U.S. Senate. If a U.S. Senator was selected at random, what is the probability that the senator is female?

• .17
• .60
• .83
• .40

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

The table displayed is for the members of the U.S. Senate. If a U.S. Senator was selected at random, what is the probability that the senator is a Democrat given that the senator is male?

• 47/83
• 36/100
• 36/40
• 13/17

Tags

CCSS.HSS.CP.A.1

Lactose intolerance causes difficulty in digesting dairy products that contain lactose. In the United States (ignoring "mixed" races) 82% of the population is white, 14% is black, and 4% is Asian. Moreover, 15% of whites, 70% of blacks, 90% of Asians are lactose intolerant.
What is the probability that the person is lactose intolerant?

• .257
• .630
• .221

A recent survey suggests that 85% of college students have posted a profile on Facebook, 73% use YouTube regularly, and 66% of do both. What is the probability that a randomly selected student uses YouTube regularly given that they have a Facebook profile.

• .776
• .904
• .859
• .824

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

A recent survey revealed that 40% of it students use Macs and the rest use PCs. 67% of the students are undergraduates while the rest are grad students. In the survey, 23% of the respondents were grad students who said they use PC as a primary computer. What is the that a randomly selected person is a graduate student given they use a PC.

• .383
• .667
• .825
• .697

A shipment contains 10,000 switches. Of these, 1000 are bad. An inspector draws 2 switches at random, one after the other. Find the probability that both switches are defective. 

• 1/100
• 111/11110
• 2/10000
• 999/9999

An athlete suspected of using steroids is given two tests that operate independently of each other. Test A has probability 0.9 of being positive if steroids have been used. Test B has probability 0.8 of being positive if steroids have been used. What is the probability that neither test is positive if steroids have been used?

• 0.72
• .38
• .02
• .28