MLE and MAP — in layman’s terms

If we have a six-faced dice and we have no upfront information about it (that is, is it a biased dice?), then

  • we can simply throw the dice as many times as we choose (the more we perform the experiment more we are likely to get a better estimate)
  • and then estimate the probability of us getting each face simply by counting the number of times we got that face and dividing that number by the number of times we performed the experiment. We do the same for all other faces (actually we need to calculate this only for five of the faces — the last one is