Assumes that someone grabs a die at random from a drawer containing two 4-sided dice, one 8-sided die, and one 12-sided die. he rolls the die once and reports that the result is 5.
(a) Make a discrete Bayes table showing the prior, likelihood, and posterior for the type ofdie rolled given the data.
(b) What is the prior predictive probability of rolling a 5?
(c) What are your posterior odds that the die has 12 sides?
(d) Given the data of the first roll, what is your probability that the next roll will be a 7?