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Puzzle 1: Lightbox

You stop in front of the Light Box with three silver dollars in your hand. The light box displays red, yellow and blue lights, one at a time, always in the following repeating order:

                            

You drop a dollar in the slot. The machine flashes lights too quickly for you to follow for a few seconds, then stops on red. A message appears on the monitor:

If you correctly predict the next color, you will win $10. Here are two hints:

  1. Either the next color is blue, or the 100th color after the color currently displayed will be blue.
  2. Either the previous color was blue, or the 100th color before the color currently displayed was blue.

What will the next color be?

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