Suppose you are given a die which has sides as 1 to 6 where the probability of each of the sides facing up is given by the categorical distribution is represented in the dictionary (1: 1/12, 2: 1/4, 3:1/6, 4:1/6,5: 1/4,6:1/12). You random roll the die for four times (note each of the rolls is iid), what is the (approximate) likelihood of observing this sequence of faces: (1, 3, 5, 5): 0.00087 0.0123 0.0104 0.00064