Calculating Probabilities Using Dirichlet Distributions For the remaining questions, consider a weighted six-sided die being rolled. Denote the number of times the die roll resulted in result as . Denote the (unknown) probability of the die roll resulting in result as . Assume the probability distribution of the weighted die can be modeled using a dirichlet distribution, conditional on the results of the die rolls: ((123456)|(123456))(.1+1,.2+2,.3+3,.4+4,.5+5,.6+6) Round all answers to two decimal places.Calculate the density that (1,2,3,4,5,6)=(1/6,1/6,1/6,1/6,1/6,1/6) after rolling exactly ten of each value on the die (i.e. 1=10,2=10,...6=10)