Elitmus
Exam
Category
3 of the 6 vertices of a regular hexagon are chosen at random.The
probability that the triangle with these vertices is equilateral is
1. 1/10 2. 3/10 3. 1/5 4. 4/10
Read Solution (Total 7)
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- i think the ans is 1/10 as we can choose 3 vertices in 6c3 ways.. now the possibility to mk an equiltrl triangle is 2.. so 2/6c3= 1/10
- 10 years agoHelpfull: Yes(12) No(2)
- 1/10
event = 6c3 and only 2 possible selection to made a eq. tringle.
2/20 =1/10
- 10 years agoHelpfull: Yes(3) No(0)
- a regular hexagon contains 6 eq. triangles.
so 6/6c3 =6/20=3/10. - 10 years agoHelpfull: Yes(3) No(2)
- Ans is 1/10
- 10 years agoHelpfull: Yes(1) No(0)
- ans is 1/10 as total no. of combinations will be 20 and favorable combinations are 2
- 10 years agoHelpfull: Yes(1) No(0)
- 6c3=20
to form 2 equi trianlge from hexagon is 2
therfore prob=2/10=1/10 - 10 years agoHelpfull: Yes(1) No(0)
- Here sample space is 6c3 (choosing any three vertices)
number of vertices for equilateral=6c1*1*1(selecting any vertex from 6 vertices after that we have no choice we have to choose fix one)
so answer is
6c1/6c3
=3/10 - 10 years agoHelpfull: Yes(0) No(1)
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