What is the Probability of a Coin Toss Avoiding Lines in 2D Cartesian Plane?

[Mr.IITIAN007]

Well I am doing a minor project on dimensions and probability.Please friends try this out:-----------

A coin of diameter d is tossed randomly onto the rectangular cartesian plane .
What is the probability that the coin does not intersect any line whose equation is of the forms :-------
(a) y=mx+c
(b) (x/a)+(y/b)=1

I am trying first with 2-D figure but if I get a proper answer I can find for euclidean plane too.

 

[ZioX]

(b) is also a line. I assume you mean to square the x and y.

Obviously, you need to somehow restrict the area you're working with. You cannot use the entire euclidean plane as there exists no uniform distribution over it.

 

[Mr.IITIAN007]

Ziox,You are right about your point on euclidean plane.I have not yet thought about that.But buddy, (b) is the intercept form of a line which cuts off intercepts a and b from x and y-axis respectively.Have you tried the (a) part ?