1,184 views
0 votes
0 votes
In the cartesian plane, selection of a point P along the y axis in [0,2] is uniformly random. Similarly selection of a point Q along the x axis in [0,2] also uniformly distributed. What is the probability of the area of the triangle POQ to be less than or equal to 1, where O is the origin ?

1 Answer

0 votes
0 votes

Area of POQ=$\frac{1}{2}*2*2=2$

Area less than or equal to 1 is $\frac{1}{2}*1*2=1$

So, Probability of POQ less than equal to 1 is $\frac{1}{2}=0.5$

Related questions

3 votes
3 votes
1 answer
2
vaishali jhalani asked Nov 17, 2016
788 views
A arrives at office at 8-10am regularly; B arrives at 9-11 am every day. Probability that one day B arrives before A? [Assume arrival time of both A and B are uniformly d...