An urn contains 100 marbles. Fifty are purple, ten are green, fifteen are red, and twenty five are orange. Two marbles are drawn at random one after another with replacement. Calculate each probability.
a. P(purple and orange)
b. P(green and green)

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.