DAT - Dental Admission Quantitative Reasoning: Probability Questions and Answers

Question 1

A dental clinic uses two independent sterilization machines, A and B.
Machine A has a 95% success rate, and Machine B has a 90% success rate.
If a set of instruments is processed through both machines, what is the probability that at least one machine successfully sterilizes the set?

Accepted Answer

0.995

Answer

0.855

Answer

0.950

Answer

0.975

Question 2

A dental study group consists of 5 first-year students and 4 second-year students. If a committee of 4 students is selected at random, what is the probability that the committee will consist of exactly 2 first-year students and 2 second-year students?

Accepted Answer

10/21

Answer

1/2

Answer

5/14

Answer

25/126

Question 3

In a standard 52-card deck, what is the probability of drawing a single card that is a King or a Spade?

Accepted Answer

4/13

Answer

17/52

Answer

1/4

Answer

1/13

Question 4

A bag contains 6 red marbles, 4 blue marbles, and 5 yellow marbles. If one marble is drawn at random, which of the following events has the highest probability of occurring?

Accepted Answer

Drawing a marble that is not yellow

Answer

Drawing a red marble

Answer

Drawing a blue marble

Answer

Drawing a marble that is not red

Question 5

A fair six-sided die is rolled three times. What is the probability of rolling a '4' on the first roll, an even number on the second roll, and a number greater than 2 on the third roll?

Accepted Answer

1/18

Answer

1/12

Answer

1/3

Answer

1/36

Question 6

A survey of 100 dental patients reveals that 60 floss daily and 35 have at least one cavity. Of the patients who floss daily, 15 have a cavity. What is the probability that a randomly selected patient has at least one cavity, given that they do not floss daily?

Accepted Answer

1/2

Answer

3/8

Answer

7/20

Answer

1/4