02 Conditional Probability for Statistics

An international class has 50 students from three different countries. If a student is chosen at random from this class, what is the probability that they speak French, given that they are a girl?

• 0.14

• 0.24

• 0.4

• 0.8571

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

A student who completed this survey is chosen at random. What is the probability that this student does not play on a sports team, given that they do not play an instrument?

• 0.50

• 0.78

• 0.55

• 0.15

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

An international class has 50 students from three different countries. If a student is chosen at random from this class, what is the probability that the student picked will be a boy, given they speak German?

• 0.7273

• 0.4

• 0.16

• 0.22

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.8

A student who completed this survey is chosen at random. What is the probability that this student plays a sport, given they do not play an instrument?

• 0.20

• 0.22

• 0.18

• 0.70

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

A person is picked at random from a group described by this table. What is the probability that they have blonde hair, given that they are a girl?

• 30%

• 32%

• 29%

• 40%

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

A coin is flipped and a die is rolled. What is the probability that the coin lands heads up, given that the number rolled was 1?

• 6.3%

• 50.0%

• 8.3%

• 2.8%

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Which of the following is a correct formula, assuming that all outcomes are equally likely?

(Recall that "| |" means "number of outcomes" here, not absolute value.)

• P(B|A)=| A or B |/|B|

• P(B|A)=| A and B |/|A|

• P(B|A)=| A or B |/|A|

• P(B|A)=| A and B |/|B|

Independence is a property of...

• An Event on its own

• The relationship between two Events

Two Events A and B are independent in relation if and only if...

• P(A) = P(B)

• P(B|A) = P(B)

• P(A|B) = P(B)

• P(A|B)=P(B|A)

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.8

A trial consists of randomly drawing a card from a standard deck, replacing it, then drawing another card at random.

Let K₁ = choosing a King on the first draw and K₂ = choosing a King on the second draw.

K₁ and K₂ are __________________ in relation to each other.

• Independent

• Dependent