1) 0.000001 Each number can be any integer from 0 to 99. There are 100 equal options so the probability is 1/100. There are three numbers and choosing each number is an independent event, so we cube 1/100 to get 0.000001 2) 06 2 and 3 are the only two numbers that are prime and a factor of 24. 2x3 = 6 3) 25 The shading in the top left and bottom right both cover 1/4 of their areas. The shaded part in the top right combined with the bottom left creates 2 squares, out of the 8 total squares that those two shaded parts belong to, meaning they also are 1/4 of the total area. This is equal to 25%. You can also find out the answer by reasoning that the rectangles in the top left are equal to the squares as they all divide the larger squares by 4. The shaded area takes up 4 rectangles/squares out of the 16 that are in the image. 4/16 = 25% 4) 48 The height splits the bottom of the triangle into two equal parts, making each side equal to 8/2 = 4 inches. It also forms a right angle with the bottom side of the triangle. This means you can find teh height through the Pythagorean theorem since it forms a right triangle and you know the lengths of the two other sides. In the right triangle one leg is equal to 4 inches, the hypotenuse is equal to 8 inches, and the other leg is the height. According to the Pythagorean theorem Height^2 = 8x8 - 4x4 = 48