A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each. A second machine has 4 different animal-shaped rubber bands (lion, elephant, horse, and alligator) and an equal chance of dispensing each. If you buy one item from each machine, what is the probability of getting a yellow gumball and a lion band?

The numbers 1 through 10 are put in one bag. The numbers 5 through 14 are put in another bag. When you pick one number from each bag, what is the probability you get the same number?

When rolling 3 standard number cubes, the probability of getting all three numbers to match is [math]\frac{6}{216}[/math]. What is the probability that the three numbers [i]do not[/i] all match? Explain your reasoning.

Is there a proportional relationship between the area and perimeter of a square? Explain how you know.