Three fair dice are thrown simultaneously What is the probability that the sum of numbers on their t...........

Quantitative Aptitiude (CLAT) Probability

Three fair dice are thrown simultaneously. What is the probability that the sum of numbers on their tops, is at least 6?

5/108

1/24

103/108

17/18

Number of events of getting a total of less than 6 (event of getting a total of 3, 4 or 5) = 10

i.e. (1, 1, 1), (1, 1, 2), (1, 2, 1), (2, 1, 1) (1, 1, 3), (1, 3, 1), (3, 1, 1), (1, 2, 2), (2, 1, 2), (2, 2, 1).

Therefore, probability of getting a total of less than 6

Number of favorable outcomes

P(E6) = Total number of possible outcome

= 10/216

= 5/108

Therefore, probability of getting a total of at least 6 = 1 - P(getting a total of less than 6)

= 1 - 5/108

= (108 - 5)/108

= 103/108

These examples will help us to solve different types of problems based on probability for rolling three dice.

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