1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Three numbers are chosen from 1 to 20. The probability that they are not consecutive is

A

186190

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B

187190

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

188190

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D

1820C3

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is B 187190 Number of ways to choose three numbers from 1 to 20 = 20C3=1140 Now, the set of three consecutive numbers from 1 to 20 are (1, 2, 3), (2, 3, 4), (3, 4, 5), ..........., (18, 19, 20). So, the number of ways to choose three numbers from 1 to 20 such that they are consecutive is 18. P(three numbers choosen are consecutive) Number of ways to choose three =consecutive number from 1 to 20Number of ways to choose three numbers from 1 to 20 =1820C3=181140=3190 P(three numbers choosen are not consecutive) = 1 - P(three numbers choosen are consecutive) =1−3190=187190 Hence, the correct answer is option (b).

Suggest Corrections
22
Join BYJU'S Learning Program
Related Videos
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program