Practice Probability Questions: Aptitude - Wikitechy https://www.wikitechy.com/interview-questions/tag/practice-probability-questions-aptitude/ Interview Questions Mon, 06 Sep 2021 06:45:06 +0000 en-US hourly 1 https://wordpress.org/?v=6.9.4 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png Practice Probability Questions: Aptitude - Wikitechy https://www.wikitechy.com/interview-questions/tag/practice-probability-questions-aptitude/ 32 32 When two dice are tossed, What is the probability that the total score is a prime number ? https://www.wikitechy.com/interview-questions/probability/when-two-dice-are-tossed-what-is-the-probability-that-the-total-score-is-a-prime-number/ https://www.wikitechy.com/interview-questions/probability/when-two-dice-are-tossed-what-is-the-probability-that-the-total-score-is-a-prime-number/#respond Wed, 18 Aug 2021 01:36:03 +0000 https://www.wikitechy.com/interview-questions/?p=2025

When two dice are tossed, What is the probability that the total score is a prime number ?

A. 1/4

B. 1/3

C. 2/3

D. 5/12

Answer : D. 5/12

Explanation:

Total number of outcomes possible when a die is rolled = 6 (∵ any one face out of the 6 faces).
Hence, Total number of outcomes possible when two dice are rolled, n(S) = 6 × 6 = 36.
Prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 … etc
Let E = the event that the total is a prime number
= {(1,1), (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (4,1), (4,3), (5,2), (5,6), (6,1), (6,5)}
Hence, n(E) = 15
P(E) = n(E)/n(S)
= 15/36 = 5/12

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