A jar contains 7 blue cubes, 4 blue spheres, 5 green cubes, and 6 green sphers. If you select an object at random, what is the probability that the object is green or a cube?
First, let's calculate the total number of green objects and cubes in the jar:
Total green objects = 5 green cubes + 6 green spheres = 11
Total cubes = 7 blue cubes + 5 green cubes = 12
Now, let's find the total number of objects in the jar:
Total objects = 7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22
Now, we can calculate the probability of selecting an object that is green or a cube:
Probability = (Total green objects + Total cubes - Total objects that are both green and cubes) / Total objects
Probability = (11 + 12 - 5) / 22
Probability = 18 / 22
Probability = 9 / 11
Therefore, the probability that the object selected is green or a cube is 9/11 or approximately 0.8182.