The chances of Taff Jones meeting his Maker by falling off a ladder were so tiny because so few deaths happen that way. See the following statistics from a Daily Mirror article:
300,000,000/1 SHARK ATTACK (c 40 deaths per year)
300,000,000/1 FAIRGROUND ACCIDENT
250,000,000/1 FALLING COCONUT (c 150 deaths per year)
11,000,000/1 PLANE CRASH (c 1,300 deaths per year)
10,000,000/1 KILLED BY LIGHTNING (c 5 deaths per year)
10,000,000/1 KILLED BY THE ESCAPE OF RADIATION
9,300,000/1 DYING IN TERRORIST ATTACK
5,000,000/1 SCALDED BY HOT TAP WATER. (c 126 deaths per year)
4,400,000/1 LEFT-HANDED PEOPLE USING A RIGHT-HANDED PRODUCT
3,500,000/1 SNAKE BITES (c 25,000 deaths per year)
3,000,000/1 FOOD POISONING (c 200 deaths per year)
2,300,000/1 DYING FROM FALLING OFF A LADDER (c 15 deaths per year)
1,200 suffer serious injuries. A quarter of all falls happen off ladders.
2,000,000/1 DYING AFTER FALLING OUT OF BED (c 20 deaths)
685,000/1 DROWNING IN THE BATH (25 deaths per year)
500,000/1 BEING KILLED IN A TRAIN CRASH (c 13 deths per year)
43,500/1 BEING KILLED IN AN ACCIDENT AT WORK (c 300 deaths)
8,000/1 KILLED IN A ROAD ACCIDENT (c 1,500 per year)
5/1 DYING FROM CANCER ( c 130,000 deaths per year)
2.5/1 DYING FROM HEART ATTACK OR STROKE (c200,000 deaths per year)
http://www.mirror.co.uk/news/weird-world/2008/05/30/scientists-calculate-odd-ways-to-die-115875-17495916/
You need to be very careful when trying to use statistics like this - they simply don't apply as quoted here.
The reality is that the chance of Taff Jones falling from a ladder and killing himself are much much higher than quoted here.
The reason is that these stats are the chances of
any member of the UK population dying from a ladder fall in their lifetime. Now consider the following:
i) the vast majority of UK citizens never climb a ladder, and of those that do, only a fraction would ever climb to a height that would present a genuine risk of death.
ii) of those that do, a large fraction are "professionals" who know how to climb ladders as part of their job, and even though they do it more often, they are far less likely to fall.
Taff Jones was (i) a ladder climber who felt comfortable climbing to a death-risking height, and (ii) an amateur - he was therefore in a much higher risk group than the majority of the British population.
Ergo, his odds of dying from a ladder fall were nowhere near as unlikely as has been quoted above.
(it's like quoting the chances of
any UK citizen dying of testicular cancer, and then applying that to a woman - it's meaningless unless you include more specific information on the risk group the person comes from)