1. A larger cube is made up of 27 smaller cubes. If the exterior of the larger cube is painted red and then a small cube is chosen at random and rolled like a die, what is the probability that no red faces are showing? Given that no red faces are showing, what is the probability that the rolled cube is the center cube (which has no red faces)? 2. If I roll two ten-sided dice, which is more likely: rolling two odd numbers or rolling two even numbers?