There are 6 balls in the bowl, of which   is white and the rest black. Person A hasno knowledge of how to make balls the colors are determined, so

There are 6 balls in the bowl, of which   is white and the rest black. Person A hasno knowledge of how to make balls the colors are determined, so according to hispreconception all options (0,1,2,3,4,5,6) for   are equal likely.The person   picks up the ball from the bowl at random, returning it to the bowland says the color is black.   repeats this one more time and says the color is blackagain. Person A does not know person  . Person A tries to figure out the numberof white balls in the bowsl using Bayesian inference.Express by listing the values or, if desired, also by the formula i) the prior distributionof   from the perspective of person  , ii) likelihood function the person A uses,iii) the person   ‘ posterior distribution for  . What is the most probable value of  from the perspective 

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