Verify the theorem from Section 3.3.3, which relates the Jaccard similarity to the probability of minhashing to equal values, for the particular case of Fig. 3.2.
(a) Compute the Jaccard similarity of each of the pairs of columns in Fig. 3.2.
(b) Compute, for each pair of columns of that figure, the fraction of the 120 permutations of the rows that make the two columns hash to the same value.
