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Hi! I'm a fourth year computer science student. Taking Stat 157 and Stat 155 along with Math 104 this semester. I'm also a UGSI for CS 70.
I think this conditional probability question is pretty interesting: I have two children. One is a boy born on a Thursday. What is the probability I have two boys?
1. For 11.2.ii in Ross, why does $s_{n_k}$ need to be greater than $\max\{s_{n_{k-1}}, k\}$ instead of just $s_{n_{k-1}}$?
2. Why is 1(7) in https://courses.wikinana.org/_media/math104-f21/math_104-mt1.pdf false? I thought one could argue $|a_m - a_n| < \sum \tilde{\epsilon} < \epsilon$
3. Why is 1(9) in https://courses.wikinana.org/_media/math104-f21/math_104-mt1.pdf false?
4. In Cantor's diagonalization argument, is the reason we can't take the sequence straight downwards because there may be repeated elements?