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

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(52781) (Show Source): You can put this solution on YOUR website!
.

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  .

Solved.

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