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 + a ), 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

An archery target with a radius of 60 cm has 7 scoring zones formed by concentric circles. The radius of the center black circle is 10 cm. If an arrow hits the target at a random point, what is the probability that it hits the center black zone?

A para-glider wants to land in a field that is square shaped 400 feet on each side. However, there are four briar patches planted at each corner of the field. Each briar patch takes up a region roughly shaped like a quarter circle 40 feet in diameter. If the glider loses control and hits the field randomly, what is the probability that he misses the briar patches?

A bag contains 4 balls. Each ball is a single color, and 3 distinct colors are represented in the bag. What is the probability that the first 3 balls selected without replacement are the same color? Express your answer as a common fraction.