Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
766 views
in Mathematics by (70.5k points)

Three of the six vertices of a regular hexagon are chosen at  random. The probability that the triangles is equilateral is_______

(a) (1/2)

(b) (1/5)

(c) (1/10)

(d) (1/20)   

1 Answer

+1 vote
by (71.7k points)
selected by
 
Best answer

The correct option (c) (1/10)  

Explanation:

3 vertices of 6 can be chosen in 6C3 ways = 20 ways. chosen vertices form equilateral triangle in two ways i.e. A1A3A5 and A2A4A6 

∴ Required probability = (2/20) = (1/10).

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...