Conditional Probability Quiz

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

• 3/10

• 3/9

• 1/9

• 1/3

Tags

CCSS.7.SP.C.7B

What is P(T given C)?

• 45%

• 29.6%

• 40%

• 33.3%

Tags

CCSS.HSS.CP.B.6

What is the probability that a female is chose given they like a Toyota? 

• .525

• .4627

• .6774

• .3143

Tags

CCSS.HSS.CP.A.4

A bag contains 4 red balls and 6 blue balls. If two balls are drawn randomly, what is the probability that the second ball is blue, given that the first ball was red?

Tags

CCSS.HSS.CP.B.6

In a survey, 40% of people own a cat, and 30% of people own a dog. If 15% of people own both a cat and a dog, what is the probability that a person owns a dog given that they own a cat?

Tags

CCSS.HSS.CP.B.6

Using Bayes' theorem, calculate the probability of disease D given a positive test result T, if the probability of having disease D is 0.01, the probability of a positive test result given disease D is 0.95, and the probability of a positive test result without having disease D is 0.05.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

A card is drawn at random from a deck of 52 cards. What is the probability that the card is a heart given that it is red?

Tags

CCSS.HSS.CP.B.6

In a class of 30 students, 18 play basketball and 12 play football. If 8 students play both sports, what is the probability that a student plays football given they play basketball?

Tags

CCSS.HSS.CP.B.6

A diagnostic test has a 98% probability of detecting a disease if the person has it (sensitivity) and a 97% probability of correctly identifying no disease if the person is healthy (specificity). If 1% of the population has the disease, what is the probability that a person has the disease given they tested positive?

Tags

CCSS.HSS.CP.B.6