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Probability

Probability - Important Points


36. Two fair ten-sided dice are rolled. What is the probability of getting a sum greater than 12?

A. 1/100

B. 1/50

C. 1/25

D. 1/20

Discuss Work Space

Answer: option c

Explanation:

The possible outcomes when two ten-sided dice are rolled range from 2 to 20. To get a sum greater than 12, the possible outcomes are 13, 14, 15, 16, 17, 18, 19, and 20. Out of the 10 * 10 = 100 possible outcomes, there are 8 with sums greater than 12. Therefore, the probability is 8/100, which simplifies to 1/25.

37. A pair of fair six-sided dice is rolled. What is the probability of getting a sum less than 7?

A. 1/3

B. 5/12

C. 1/2

D. 7/12

Discuss Work Space

Answer: option b

Explanation:

The possible outcomes when two six-sided dice are rolled range from 2 to 12. The sums less than 7 are 2, 3, 4, 5, and 6. Out of the 6 * 6 = 36 possible outcomes, there are 15 with sums less than 7. Therefore, the probability is 15/36, which simplifies to 5/12.

38. Three fair eight-sided dice are rolled. What is the probability of getting at least one 8?

A. 7/512

B. 1/512

C. 15/512

D. 57/512

Discuss Work Space

Answer: option a

Explanation:

The possible outcomes when three eight-sided dice are rolled range from 3 to 24. To get at least one 8, we can use the complement rule. The probability of not getting an 8 in a single roll is 7/8. Therefore, the probability of not getting an 8 in three rolls is (7/8)^3 = 343/512. To find the probability of getting at least one 8, we subtract this from 1: 1 - 343/512 = 169/512. Therefore, the probability of getting at least one 8 is 169/512.

39. Two fair six-sided dice are rolled. What is the probability of getting a sum of 11 or 12?

A. 1/6

B. 1/9

C. 1/12

D. 1/36

Discuss Work Space

Answer: option c

Explanation:

To get a sum of 11 or 12, there are two possible outcomes: (5, 6) and (6, 6). Out of 36 total outcomes (6 sides on each die), the probability of getting a sum of 11 or 12 is 2/36, which simplifies to 1/18 or 1/12.

40. Three fair coins are tossed simultaneously. What is the probability of getting at least two heads?

A. 1/8

B. 3/8

C. 3/16

D. 1/4

Discuss Work Space

Answer: option b

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, five outcomes have at least two heads (HHH, HHT, HTH, THH, and HTH). Therefore, the probability of getting at least two heads is 5/8.


Probability Questions and Answers FAQ

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

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