CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
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! We‘ve got your back. Try BYJU‘S free classes today!
B

187190

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

188190

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

1820C3

No worries! We‘ve got your back. Try BYJU‘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)

=13190=187190

Hence, the correct answer is option (b).


flag
Suggest Corrections
thumbs-up
22
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon