Question

Out of 50 students surveyed in a study: 35 are undergraduates in which there are 20 from NY, and 15 are graduate students in which there are 5 from NY. What is the probability that if a student surveyed is an undergraduate OR he/she is from NY?

	P(Ungrad and from NY) = 20/50
	P(from NY) = 25/50
	P(Undegraduate or from NY) = 35/50+25/50 - 20/50 = 40/50
	P(Ungrad) = 35/50
	P(Undegraduate | from NY) = 20/25

Out of 50 students surveyed in a study: 35 are undergraduates in which there are 20 from NY, and 15 are graduate students in which there are 5 from NY. What is the probability that if a student surveyed is an undergraduate and he/she is from NY?

	P(Ungrad and from NY) = 20/50
	P(Undegraduate | from NY) = 20/25
	P(from NY | Undegraduate) = 20/35
	P(from NY) = 25/50
	P(Ungrad) = 35/50

two non-empty events A and B are mutually exclusive if [choose all that apply]:

	A and B have no outcomes in common.
	The Union of A and B is an empty space.
	The Intersection of A and B is an empty space.
	A and B are independent.
	The Intersection of A and B is an empty space and the Union of A and B is the sample space.

Which of these numbers cannot be a probability?

	0.5
	1.001
	0
	1
	-0.1

Answer 1

Q1:

Probability that a student surveyed is an undergraduate OR he/she is from NY =

P(Undergraduate or from NY) = 35/50 + 25/50 - 20/50 = 40/50

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Q2:

Probability that a student surveyed is an undergraduate and he/she is from NY =

P(Ungrad and from NY) = 20/50

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Q3:

all that apply:

• A and B have no outcomes in common.
• The Intersection of A and B is an empty space.
• The Intersection of A and B is an empty space and the Union of A and B is the sample space.

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Q4:

Numbers that cannot be a probability:

• 1.001
• -0.1