SOLUTION: A 1-inch diameter coin is thrown on a table covered with a grid of lines two inches apart. What is the probability the coin lands in the square without touching any of the lines

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Question 1116437: A 1-inch diameter coin is thrown on a table
covered with a grid of lines two inches apart. What
is the probability the coin lands in the square without
touching any of the lines of the grid?
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
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The radius of the coin is 0.5 in.


Watch for the position of the center of the coin (Xc,Yc).


If   0.5 < Xc < 1.5   and  0.5 < Yc < 1.5,  then the coin does not touch the grid lines.


So, when the center of your coin is inside of this square  0.5 < Xc < 1.5,  0.5 < Yc < 1.5, then there is no touching.


The area of the small square is 1 square unit.  The area of the grid square is 4 units.


The answer to the problem's question is: the probability of not touching is  1%2F4.

Solved.