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Probability

Probability - Important Points

31. Two fair six-sided dice are rolled. What is the probability of getting a sum of 7?

A. 1/6

B. 1/9

C. 1/12

D. 1/36

Discuss Work Space

Answer: option c

Explanation:

To get a sum of 7, there are six possible outcomes: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). Out of 36 total outcomes (6 sides on each die), the probability of getting a sum of 7 is 6/36, which simplifies to 1/6.
32. Three fair coins are tossed simultaneously. What is the probability of getting exactly two heads?

A. 1/8

B. 3/8

C. 3/16

D. 1/4

Discuss Work Space

Answer: option c

Explanation:

The possible outcomes when three coins are tossed are HHH, HHT, HTH, THH, TTH, THT, HTT, and TTT (H: Head, T: Tail). Out of these eight possible outcomes, three outcomes have exactly two heads (HHH, HHT, and HTH). Therefore, the probability of getting exactly two heads is 3/8.
33. Two fair eight-sided dice are rolled. What is the probability of getting a sum divisible by 3?

A. 1/4

B. 1/3

C. 2/9

D. 1/9

Discuss Work Space

Answer: option b

Explanation:

The possible outcomes when two eight-sided dice are rolled range from 2 to 16. There are six multiples of 3: 3, 6, 9, 12, 15, and 18 (note that 18 is not possible with eight-sided dice, but we count it for simplicity). Out of the 8 * 8 = 64 possible outcomes, 6 have sums divisible by 3. Therefore, the probability is 6/64, which simplifies to 1/3.
34. A pair of fair four-sided dice is rolled. What is the probability of getting a sum less than 5?

A. 1/8

B. 1/6

C. 1/4

D. 1/3

Discuss Work Space

Answer: option b

Explanation:

The possible outcomes when two four-sided dice are rolled range from 2 to 8. The sums less than 5 are 2, 3, and 4. Out of the 4 * 4 = 16 possible outcomes, there are 3 with sums less than 5. Therefore, the probability is 3/16.
35. Three fair six-sided dice are rolled. What is the probability of getting all even numbers?

A. 1/8

B. 1/27

C. 1/64

D. 1/216

Discuss Work Space

Answer: option d

Explanation:

The possible outcomes when three six-sided dice are rolled range from 3 to 18. To get all even numbers, the possible outcomes are 4, 6, 8, 10, 12, 14, 16, and 18. Out of the 6 * 6 * 6 = 216 possible outcomes, there are 8 with all even numbers. Therefore, the probability is 8/216, which simplifies to 1/27.

Probability Questions and Answers FAQ

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Why do I need to learn Probability Questions with Answers in Quantitative Aptitude?

Probability is an important topic of Quantitative Aptitude. MCQ type Questions with Answers of Probability are required to build your Quantitative Aptitude skills which is a prerequisite for your Career development.

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