Superstitial Mechanics: The Workings of Luck
The four-leaf clover has long been a symbol of good fortune. But what if we explored this superstition through the lens of statistics and probability? Is luck truly random, or can boldness and persistence increase our chances of stumbling upon good fortune? Defining Luck The rarity of a four-leaf clover is well-documented; approximately 1 in 5,000 clovers are estimated to carry this genetic anomaly. It is improbable for you to pluck out a 4 leaf clover simply by plucking a random clover off the field. Finding a four leaf clover is considered lucky due to the improbable nature of its finding. This experience of an improbable event can be considered luck. Probability in Action: Finding the Clover Imagine walking through a large field of clovers. Every step you take can be modeled as a random sampling process, similar to drawing lottery tickets. I modelled this in python to have the data to explore the concept of luck. Here is a plot of these walks with frequency of finding the clove...