what is the chance of the coin touched 2 colors.

One Diameter coin is thrown on to the 2 color squared (2 X 2) chessboard, what is the chance of the coin touched 2 colors.

Solution

Area of each square (2 X 2) = 4. (#1)

Area of inner square (1 X 1) = 1( #2)

Area of lined square = #1 – # 2 = 4 -1 = 3.

so total probability is 3/4 = .75 percentage

One coin diameter center is placed inside #2 square, possibility one color touch.

But if it in #2, possibility is 2 color touch (See green color).

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