You are given a bag that you are told contains eight marbles. You draw out a marble, record its color, and put it back.

1. If you repeat this eight times and you do not record any red marbles, can you conclude that there are not any red marbles in the bag? Explain.

   Hint (a):

   Possible scenario: There are $7$ blue marbles and $1$ red marble in the bag.
   You pick a marble eight times and every time it is blue.

2. If you repeat this $100$ times and you do not record any red marbles, can you conclude that there are not any red marbles in the bag? Explain.

3. How many times do you have to draw marbles (putting them back each time) to be absolutely certain that there are no red marbles in the bag?

   Answer (c):

   This is not possible.