As opposed to a coin which has two faces, a dice has 6 faces. Suppose we are given a dataset which contains the outcomes of 10 independent tosses of a dice: D:={1,4,5,3,1,2,6,5,6,6}. We are asked to build a model for this dice, i.e. a model which tells what is the probability of each face of the dice if we toss it. Using the maximum likelihood principle, please determine the best value for our model parameters.