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?

1/18: hw1.pdf

1/27: hw2.pdf

2/3: hw3.pdf

2/10: hw4.pdf

2/24: hw5.pdf

3/3: hw6.pdf

3/10: hw7.pdf

3/17: hw8.pdf

4/7: hw9.pdf

4/14: hw10.pdf

4/21: hw11.pdf

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?

5. When Prof Zhou showed Cantor's diagonalization argument on 2/15, he produced a monotonically decreasing subsequence. However, I thought in general, although each sequence has a monotonic subsequence, it could be either increasing or decreasing. Thus, was the choice of monotonically decreasing just WLOG?