M4maths Previous Puzzles

09 Nov 2009 circle and tangents

Three non parallel tangents are drawn in a circle. What is the probability that it would be an incircle.

OPtion

1) 1/4
2) 1/3
3) 1/2
4) 1
5) 0
6) 3/4
7) 2/3
8) 4/5
9) 3/5
10) 2/5

Solution

A set of three lines have 1 incircle and 3 excircles, thus probability is 1/4.

Correct Option: 1 Best Solution (0)