Question

if three straight lines are drawn on a white board at random with the eyes closed. show that the probability of a forming a triangle is 1/7​

Answer 1

Answer:

1/7

Step-by-step explanation:

There are 7 possible cases.

Case1 -> The 3 lines coincide each other

Case2 -> The 3 lines pass through a same point i.e. they are concurrent lines

Case 3 -> All 3 lines are parallel to each other.

Case4 -> Line 1 and Line 2 are parallel and Line 3 is not parallel to any of them

Case5 -> Line 2 and Line 3 are parallel but Line 1 is not parallel to any of them

Case6 ->  Line 1 and Line 3 are parallel but Line 3 is not parallel to any of them

Case 7->The 3 lines form a triangle

Here, no. of favorable outcome=1

No. of possible outcomes=7

:. The required probability is 1/7