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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text:A square with side length 8 is colored white except for 4 black isosceles right triangular regions with legs of length 2 in each corner of the square and a black diamond with side
length 2V2 in the center of the square, as shown in the diagram. A circular coin with diameter 1 is dropped onto the square and lands in a random location where the coin is
1
(a + bv2 + ), where a and b
196
completely contained within the square. The probability that the coin will cover part of the black region of the square can be written as
are positive integers. What is a + b?
(A) 64
(B) 66
(C) 68
(D) 70
(E) 72
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