Subject
Quantitative Aptitude
Topic
Probability
If three dice are thrown simultaneously, then the probability of getting a score of 5 is
If three dice are thrown simultaneously, then the probability of getting a score of 5 is
ক)
5/216খ)
1/6গ)
1/36ঘ)
1/72ঙ)
1/18Explanation
Total number of possible outcomes when three dice are thrown simultaneously = 6 × 6 × 6 = 216 Three numbers add up to 5 ⇒ numbers can constitute the following sets: {1, 1, 3} or {1, 2, 2} [No die can show more than 3 and less than 1 for the three numbers to add up to 5] {1, 1, 3} can be rearranged in 3 ways as (1, 1, 3), (1, 3, 1) and (3, 1, 1) {1, 2, 2} can be rearranged in 3 ways as (1, 2, 2), (2, 1, 2) and (2, 2, 1) So, total number of ways in which three numbers on dice add up to 5 is 6. ∴ The required probability = 6/216 = 1/36Related questions
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