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Three numbers are chosen from 1 to 20. Find the probability that they are consecutive.

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Three numbers are chosen from 1 to 20. Find the probability that they are consecutive. A. 186 190 B. 187 190 C. 188 190 D. 18 .20C3 Select the correct answer from above options

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Correct Answer - B (b) Since, the set of three consecutive numbers from 1 to 20 are 123, 234, 345,…..,18, 19, 20 i.e., 18. P(numbers are consecutive) = 18 . 20 C 3 = 18 1140 = 3 190 P(numbers are consecutive) P(three numbers are not consecutive) = 1 − 3 190 = 187 190 P(three numbers are not consecutive)

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