3.4 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

A bag contains 3 red marbles and 4 blue marbles. Two marbles are drawn at random without replacement (that means they keep them!). If the first marble drawn is red, what is the probability that the second marble drawn is blue?

• 24.5%

• 42.9%

• 57.1%

• 66.7%

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What is P(two blues)?

• 50%

• 26.7%

• 15.2%

• 53.3%

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

What is P(Red given blue)?

• 50%

• 26.7%

• 57.1%

• 46.7%

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

What is P(late both days)?

• 30%

• 9%

• 60%

• 90%

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

What is P(late given not late)?

• 30%

• 70%

• 21%

• 49%

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

What is P(T given J)?

• 79.2%

• 37%

• 70.3%

• 41.7%

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8