A box contains 10 chips. The chips are numbered 1 through 10. Otherwise, the chips are identical. From this box, we draw one chip at random, and record its value. We then put the chip back in the box. We repeat this process two more times, making three draws in total from this box.
1. How many elements are in the sample space of this experiment?
2. What is the probability that the three numbers drawn are all different?
3. What is the probability that the three numbers drawn are all even numbers?
1. In the first draw, we have 10 choices. Since we put back the chip after the first draw, in the second draw, we have 10 choices too. Since we put back the chip after the second draw, in the third draw, we have 10 choices again. So, there are 10*10*10=1000 elements in the sample space ...
The probability of random draws are examined.