@Priya: Consider one of the squares in the grid. It has an area of 4
square inches. If the coin lands so that its center is within 1/2 inch
of any grid line, the coin will touch the line. The area of the region
within 1/2 inch of the boundary is 3 square inches. Therefore, 3/4 of
the time the coin will touch a grid line, leaving 1/4 as the
probability of not touching any of the grid lines.

Dave

On Aug 19, 11:50 am, priya ramesh <[email protected]>
wrote:
> 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 a square without
> touching any of the lines of the grid?

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