Snakes and Ladders - Simulation, Markov Chains, and Board Design

Lately, my son has been obsessed with the game of Snakes and Ladders. So much so that he made it a mission to win the game first before he does any thing else. Watching him play so many games, I got curious about the game mechanics and design. In this post I explored questions like - what is the expected number of turns in a game, what a boring Snakes and Ladders board with extremely low variance would look like, and conversely, how to mathematically design a chaotic board where the variance is very high.
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Analysis of text conversations with my wife

I was recently going through some of the earliest text conversations between me and my wife. Apart from exposing our naiveness and excitement in a cute way, I found those texts insightful of our personalities and relationship. So I tried to apply what I do for my day job in analyzing the texts data and quantify the conversations.
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