A box contains 731 black balls and 2000 white balls. The following process is to be repeated as long as possible. Arbitrarily select two balls from the box. If they are of the same color, throw them out and put a black ball into the box (enough extra black balls are available to do this) if they are of different color, place the white ball back into the box and throw the black ball away. Which of the following statements is correct?
- The process can be applied indefinitely without any prior bond
- The process will stop with a single white ball in the box
- The process will stop with a single black ball in the box
- The process will stop with the box empty
- None of the above
How do I approach this question? Any idea?