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प्रश्न
Three fair dice are thrown simultaneously. What is the probability that the sum of numbers on their tops, is at least 6?
विकल्प
`5/108`
`1/24`
`103/108`
`17/18`
उत्तर
`103/108`
Explanation:
We get sum of numbers on top of three dice less than 6 in following ways.
(1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 2, 1), (1, 3, 1), (2, 1, 1), (3, 1, 1), (2, 2, 1), (2, 1, 2), (1, 2, 2).
∴ n (E) = 10
n(S) = 6 × 6 × 6 = 216
Now, probability of getting sum less than 6
`= 10/216 = 5/108`
∴ Probability of getting sum at least 6
`= 1 - 5/108 = 103/108`
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