DAT Quantitative Reasoning: Probability 2 — Questions and Answers
Question 1: A fair six-sided die is rolled once. What is the probability of rolling a number greater than 4?
- 1/3 (Correct answer)
- 1/2
- 1/6
- 2/3
Correct answer: 1/3
Outcomes greater than 4 are 5 and 6, so 2/6 = 1/3.
Question 2: A bag has 4 red and 6 blue marbles. What is the probability of drawing a red marble?
- 2/5 (Correct answer)
- 3/5
- 4/6
- 1/2
Correct answer: 2/5
There are 4 red out of 10 total, so 4/10 = 2/5.
Question 3: What is the probability of flipping a fair coin twice and getting two heads?
- 1/4 (Correct answer)
- 1/2
- 1/3
- 3/4
Correct answer: 1/4
Each flip is 1/2, so 1/2 × 1/2 = 1/4.
Question 4: A standard deck has 52 cards. What is the probability of drawing a king?
- 1/13 (Correct answer)
- 1/4
- 1/26
- 1/52
Correct answer: 1/13
There are 4 kings, so 4/52 = 1/13.
Question 5: If the probability of an event is 0.35, what is the probability it does NOT occur?
- 0.65 (Correct answer)
- 0.35
- 0.50
- 0.75
Correct answer: 0.65
The complement is 1 − 0.35 = 0.65.
Question 6: A spinner has 8 equal sections numbered 1–8. What is the probability of landing on an even number?
- 1/2 (Correct answer)
- 1/4
- 3/8
- 5/8
Correct answer: 1/2
Even numbers 2,4,6,8 make 4 of 8 sections, so 1/2.
Question 7: Two dice are rolled. What is the probability the sum equals 7?
- 1/6 (Correct answer)
- 1/12
- 1/9
- 1/8
Correct answer: 1/6
Six combinations sum to 7 out of 36 total, so 6/36 = 1/6.
DAT Quantitative Reasoning: Probability 2
A fair six-sided die is rolled once.
What is the probability of rolling a number greater than 4?