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Three numbers are chosen from 1 to 20. F...

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

A

`(186)/(190)`

B

`(187)/(190)`

C

`(188)/(190)`

D

`(18)/(.^(20)C_(3))`

Text Solution

Verified by Experts

The correct Answer is:
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(three numbers are not consecutive)"=1-(3)/(190)=(187)/(190)`
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