Last week, I was caught by a nasty thunderstorm while mountain biking in the woods. I think I did everything (there is not much) I could, to avoid being killed by a lightning strike. I’ve immediately jumped off the bike, crouched down and began to pray…
I’ve spent about twenty minutes like that, afraid, cold, and in a heavy rain. There were five cases in which I have heard the thunder within one second after seeing the lightning. Sound travels at the speed of 343 meters (1 125 feet) per second. This means, five lightning strikes did hit within 343 meters (1 125 feet) of me. (In )
Let us assume: if lightning hits within five meters (15 feet) of me, I’m dead.( mountaineersbooks.org)
Now I want to compute, what was the probability that I will survive.
To recapitulate: We have five lightning strikes with a five meter deadly radius, to hit 343 meters or closer to me. I’ll assume that lightning can hit anywhere in the concerned area and with the same probability.
The whole area (green in the picture) – “343 meters or closer to me”, is a circle with a 343 meters radius, with me standing in the center.
Deadly zone (red in the picture) – If a lightning strike hits 5 meters or closer to me, I have a problem. This gives us the “Deadly zone”, circle with a five meters radius.
Probability of not getting killed is [1-(deadly zone)/(whole 343 meters area)]^5=[1-(78,5)/( 369417)]^5=
[0,9997875030]^5=0,99893793=99,893 % probability of survival.
So I guess, lightning storm is not as dangerous as one would think. Before I did this little exercise, if you’ve asked me what the probability of my survival was. I would have underestimated it significantly.
That’s what humans do, underestimate highly probable events (getting killed by a lightning) and overestimate highly improbable events (win in a lottery – deep down everyone hopes). I just wonder what is the evolutionary purpose of this misperception of probability (reality)
Appendix:
Because I was not able to find really reliable estimate of how big is the “Deadly zone” around a lightning strike I have computed the probability of survival for three different scenarios.
- Deadly zone with a five meters (15 feet) radius.
- Deadly zone with a ten meters (30 feet) radius.
- Deadly zone with a fifteen meters (45 feet) radius.
- In the first case (5 meters, 15 feet), The probability of survival after 255 lightning strikes hit in your proximity is 94,7%.
- In the second case (10 meters, 30 feet), The probability of survival after 255 lightning strikes hit in your proximity is 80,5%.
- In the third case (15 meters, 45 feet), The probability of survival after 255 lightning strikes hit in your proximity is 61,3%.
The last case is when you experience 85 lightning strikes of each of these kinds. That is 85 strikes with the 5 meter deadly radius, 85 strikes with the 10 meter deadly radius, 85 strikes with the 15 meter deadly radius. Probability of your survival will then be 77,6 %.
For more details see enclosed Excel file. probability-of-survival-lightning strike