Showing posts with label Probability. Show all posts
Showing posts with label Probability. Show all posts

18 January 2025

IT’S THE GOOD ADVICE THAT YOU JUST DIDN’T TAKE [484]

January 1987

Perception changes everything, so long as you move first. To that end, I propose that Sod’s Law be abolished in 2025, as far as I can manage.

To illustrate, on the one day last week that I needed to start work earlier, my bus didn’t appear, making me late. This was because the bus company decided to start the bus I was expecting, which was in the wrong place, at a later point on its route, so it would still reach its destination on time. I don’t like being made late for anything, and seeing the map on the bus company’s app that tracks the location of each bus played everything out in real time.

This is a perfect example of Murphy’s Law, as coined in 1948-49 by Edward Murphy Jr, an American engineer on experimental aircraft: “If there are two or more ways to do something and one of those results in a catastrophe, then someone will do it that way.” The further consequences of the decision also apply under Murphy’s Law: the bus I did catch had to pick up all the people that were also missed, slowing the bus down, while standing passengers made physically entering and leaving the bus more difficult, slowing things further. Seemingly more people also paid for their journey using cash over using their phone to hop on and off, and so on and so on.

The Oxford Dictionary may describe Sod’s Law as being the British name for Murphy’s Law - and there is no titular "sod" to speak of - but rather than my bus journey going wrong because anything can go wrong, the way it was exacerbated matches my understanding of Sod’s Law - if it goes wrong, it will happen at the worst possible time, and in the worst possible way.

As much as both Sod’s Law and Murphy’s Law can be delineated as laws of both probability and of expectation bias, I realised my perception was also being stretched by experience. After taking the same route hundreds of times, encountering all possible variations of that journey, I simply give myself the right amount of time to make that journey so I don’t have to expect, anticipate or consider anything at all - I will simply get to work on time, every time, and early enough to mean that I didn’t need to adjust my plans to start work earlier.

And yet, as my journey spiralled, I started bargaining with myself that, at least if nothing further happened, then at least I stood a chance of avoiding arriving late for work. I admitted defeat when I could see there was no way of avoiding the inevitable, and once I finally arrived at work, tired and sweating from the adrenaline of walking the last section of my journey as fast as I could, I turned on my computer and started work… three minutes late.

This is why I want to “abolish” Sod’s Law, at least for myself: not wanting to be late is one thing, and being unable to avoid that can still happen, but passively accommodating the possibility of the worst possible outcome turned out to be the same as fearing it. If something can go wrong, it will, but you can’t then hold yourself at fault for failing to adequately prepare - that creates a situation with no possible end point.

Adopting Murphy’s Law couldn’t come at a better time - in a couple of weeks’ time, the bus drivers will be on strike.

23 September 2023

DON'T COUNT ME OUT [415]


No matter how informed you made yourself before talking about an item, that is still no substitution for using that item, and I am guilty of that here.

After writing about Casio’s new ClassWiz series of calculators, and having decided it was not for me, I wound up buying one anyway. This opportunity came because of surplus stock of the top-of-the-line Casio fx-991CW after a supermarket’s “Back to School” sale, its £30 price having been halved, and then halved again. I bought one of the last few for £7.50 in vouchers, concluding that I got a free calculator for being a loyal customer.

Having read the instructions online before buying the ClassWiz worked out in my favour, as you no longer get a full instruction book in the packaging - only a quick start guide and warranty card is included. However, the initial gripe of having to select “Calculate” upon turning the device on, to complete a simple calculation, is eliminated once you realise that, if you turn off the calculator while in that “app”, or in the Statistics, Spreadsheet, Equation or any other mode, it will still be in that mode once you turn it on again.

I realised the arrangement of keys is more intuitive for the way we use devices now. The “Home”, “Back” and “Settings” buttons, and their respective house, arrow and levels icons, are universally recognised, and coupling these with the higher-resolution screen, now supporting one level of grey for contrast, means every available option is clear. I’m surprised they didn’t use the screen to build a “Help” or “Instructions” app into the device itself, unless that is somehow counted as cheating at school.

The “Catalog” button, housing many of the options previously requiring the shift key on the main keyboard, will become easier to use in time, once you know how far down some options are – I have realised that “%”, usually its own button on even the cheapest and simplest of calculators, is now found under the Catalog’s “Probability” list. Its focus is to provide all the mathematical symbols likely to be used in maths or science lessons, as you can enter equations as seen in textbooks using all the correct symbols, meaning it is clearer why the curly “x” symbol has its own key rather than “%”. However, I will most likely use it for the very comprehensive list of unit conversions.

I admit that I like the idea of the “Math Box” app. I have been known to flip a coin to choose subject matter for a week’s article or, as a writing exercise, thrown dice to determine how many words I should write. I now can simulate tossing up to three coins, or rolling up to three six-sided dice, as many as 250 times, then produce a table of how often each result came up, if I am so inclined. I don’t know why these features aren’t in the “Probability” section of the Catalog, alongside the feature for producing random numbers, unless Casio wanted a prominent place for two ways of solving arguments.

In short, I have learned my lesson. I like calculators, I like devices with a lot of buttons on them, and I like exploring devices with a lot of buttons on them. If those buttons are arranged differently, then I am going to explore more, and I should have realised that before getting my hands on one. With the UK government currently planning to make maths compulsory in schools to A-Level, the new ClassWiz calculator, while not what I have been used to seeing, will help the reticent student that may not otherwise have wanted to study maths by being as clear and approachable as possible, and that is nothing but a good thing.