Conditional probability

A science teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second?

• 59.5%

• 10.5%

• 1.6%

• Not enough information

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black?

• 16%

• 1.38%

• 72.3%

• Not enough information

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

In a school the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes technology is 0.68. What is the probability that a student takes Spanish given that the student is taking Technology?

• 7.8%

• 12.8%

• 5.9%

• Not enough information

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

45% total of the children in a school have a dog, 30% total have a cat, and 18% have a dog and cat. What percent of those who have a cat also have a dog?

• 60%

• 40%

• 24%

• 1.7%

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

In rolling a standard die with six sides, what is the probability of not getting a 2 or 5?

• 1/36

• 1/6

• 2/3

• 1/30

Determine if the events A and B are independent or dependent. P(A) = .36, P(B) = .20, P (A and B) = 0.072

• Dependent

• Independent

• Neither

Suppose the P(A) = .55, P(B) = .30 and P(A and B) = .12, find P(A or B).

• 0.85

• 0.165

• 0.12

• 0.73

What is the probability that a student is a junior, given they passed the test?

• 3/4

• 1/4

• 17/50

• 3/10

Find P(Sophomore |Pass)

• 17/20

• 17/50

• 9/25

• 3/20

Find P(Y|P).

• 0.23

• 0.40

• 0.46

• 0.68