A box contains ten chips. The chips are numbered 1 through 10. Otherwise, the chips are identical. From this box, we draw one chip at the random, and record its value. We then put the chip back in the box. We repeat this procedure two more times, making three draws in all from this box.
1. How many elements are in sample space of this experiment?
2. What is the probability that three numbers drawn are not all the same?
3. What is the probability that three numbers drawn are all different?