> if the baseline chance of delay is 10%, engineering works add 25%, strikes add 35%, and bad weather adds 20%, then when all these problems happen, there's a 90% chance your train will be delayed.
What if signal failures "add" 15%? Then all factors combined would mean that there's a 105% chance your train will be delayed!
Adding up probabilities like this doesn't make sense. If you simplify these things as independent events, the probability of delay is just the 1 minus the product of all the probabilities of each event not happening (i.e., 1 - P(event)).
As for the article---I think you really undervalue your time and the price of inconvenience. I can see how you can romanticize it as a nice way to get things done, but (dealing with) train delays is hardly distraction free and is full of forced setting changes and (very) shit working environments (like waiting on a platform). This is a bad deal, even if it's free. Money is there to to be spent; this is a instance in which to spend it, moral/ethical/fraud concerns aside.
But hey maybe you're a Von Neuman type and thrive in cacophony and chaos.
I think you really undervalue the pleasure of getting one over on our awful train system, and also overestimate how much money the young people of the UK have access to.
> As for the article---I think you really undervalue your time and the price of inconvenience. I can see how you can romanticize it as a nice way to get things done, but (dealing with) train delays is hardly distraction free and is full of forced setting changes and (very) shit working environments (like waiting on a platform).
By delays, I think the author meant that they get on a train, then sit in it for ~5 hours, with the option of paying roughly twice the price for first class [1].
As someone who frequently uses their laptop on public transport too, this sounds like a great way to either get things done or pass time.
[1] https://www.avantiwestcoast.co.uk/travel-information/onboard...
Though the problem is that delayed trains are often overcrowded trains. And overcrowded trains are not conducive for doing work on a laptop, unless you like sitting on the vestibule floor outside the toilet door with your laptop on your knees.
To be fair, in my experience a lot of train operators will not declassify a train unless it is very very full. So if you got a first class ticket, you wouldn't be as stuck.
> Though the problem is that delayed trains are often overcrowded trains.
I've experienced exactly this with Deutsche Bahn trains, but I've been looking at the National Rail Conditions of Travel [1], and there's no requirement that tickets automatically turn into "flexi" tickets, allowing use of alternate routes, unlike German regulations.
I'm guessing a huge number of people being allowed to hop onto the next train instead of just being provided a refund is a huge cause of overcrowding, but I also haven't experienced the UK rail system first-hand in many years.
[1] https://assets.nationalrail.co.uk/e8xgegruud3g/3Y9UXuFziljws...
It is mostly the same in the UK too, at least in principle. Sparpreis fares correspond to Advance tickets, which can vary over time or be sold at a discount. DB's Flexpreis would be called 'walk-up' fares in Britain, which are fixed in price by the Department for Transport (a part of the British government).
If you miss a train due to no fault of your own you can take the next available one, including with an Advance ticket[1].
What complicates the matter greatly in the United Kingdom is the semi-privatized franchising system and the hundreds of 'restriction codes' that limit the validity of the tickets to what is essentially an arbitrary subset of the available services, even in the case of disruption.
I think that German regulations, as well as European industry agreements such as CIV, are better for the passenger because they codify in law how reasonable railway staff would act anyway. However there are equivalent protections in Britain, albeit ones encoded in nebulous contracts and precedent rather than enshrined in law. They can help you but only if you know what they are and are prepared to fight the bueorocracy to invoke them.
[1]: https://www.nationalrail.co.uk/tickets-railcards-and-offers/...
Sir, this is an Englishman writing; he‘s obviously taking the piss.
Your comment made me wonder. 65% chance of delay.
Agreed, but also where did those %'s come from? Seems like thin air so it's really all a gamble at this point.
78 percent of statistics are made up on the spot.
and 42% of the time, they match up with reality.
Most of these trains are one and done things straight from the departure station to London?
The only experience I have was taking them in the other direction though, because I opted for a flight instead of dealing with it again to go back to London.
Was a new experience booking a train ticket and seeing a quote of £250. I thought the machine was broken.
For small probabilities it works :)
1-(1-p1)(1-p2) = p1+p2-p1p2
and a similar formula holds for more terms. so neglecting terms of order p^2 gives the form in the article
For probabilities (much) smaller than 10%, sure.
But adding 10%, 20%, and 35%, is already a pretty bad start. The error rate becomes huge. (in the article example, the 10% estimate of chances of being on time is ~3.5 smaller than the actual 35% correct result).
Being wrong by half an order of magnitude, is being quite wrong :)
I'm not disagreeing with you!