Today's theme is probability. I asked students to look at problems 7, 9, and 12 from 2_hidden_independence_and_uniformity.pdf If time remains, we could look at some other problems too. Files: 1_probability.pdf 2_hidden_independence_and_uniformity.pdf Problems from MIT, originally by Richard Stanley and later Yufei Zhao. Recent versions here: https://yufeizhao.com/a34/ putnamprob.pdf Putnam probability problems through 2017, collected by Ed Barbeau. https://www.math.utoronto.ca/barbeau/putnamprob.pdf ps1.pdf First problem set from Sasha's Math-385-1.