50 Followers Problem!

Discrete Mathematics Level 4

A bag has marbles of 4 colors: red, white, blue and green. Assume that if we take four marbles out at random (without replacement), each of the following is equally likely:

  1. One marble of each color is chosen
  2. One white, one blue and two reds are chosen
  3. One blue and three reds are chosen
  4. All four are red

What is the smallest number of possible marbles in the bag?

Image Credit: Flickr Wes Iversen.

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