SOLUTION: a diagram shows a square dartboard.the side of the dartboard measures 30 inches.the square shaded region at the center has a side that measures 10 inches.If darts thrown at the boa

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Question 437921: a diagram shows a square dartboard.the side of the dartboard measures 30 inches.the square shaded region at the center has a side that measures 10 inches.If darts thrown at the board are equally likely to land anywhere on the board,what is the theoretical probability that a dart does NOt land in the shaded region
Answer by htmentor(807) (Show Source):
You can put this solution on YOUR website!
The total area of the board = 30*30 = 900 square inches
The area of the shaded region = 10*10 = 100 square inches
The probability of not landing in the shaded region is the ratio of the unshaded
area to the total area
The unshaded area = 900 - 100 = 800 square inches
Therefore, the probability is:
P(unshaded) = 800/900 = 8/9 = 0.8889