If any real number a is taken in the interval (- 1,1) and any real number B is taken in the interval (0,1), then the probability of the intersection of the line ax by = 0 and the circle (x-1) 2 + (Y-2) 2 = 1 is () A. 38B. 516C. 58D. 316

If any real number a is taken in the interval (- 1,1) and any real number B is taken in the interval (0,1), then the probability of the intersection of the line ax by = 0 and the circle (x-1) 2 + (Y-2) 2 = 1 is () A. 38B. 516C. 58D. 316

According to the meaning of the title, the whole area of the test is: − 1 ＜ a ＜ 10 ＜ B ＜ 1, which is surrounded by rectangles with side lengths of 1 and 2 respectively, and the area is 2. Note: "the intersection of the straight line ax by = 0 and the circle (x-1) 2 + (Y-2) 2 = 1" is the event a, which can be obtained from the intersection of the straight line and the circle, | a − 2B | A2 + B2 ＜ 1, and the composition area a is the shadow part in the figure, and the area is (14 + 1) × 1 × 12 = 58 According to the calculation formula of probability, P (a) = 582 = 516, so B