Mathematician sees each individual outcome as independent 50% chance.
Scientist realises that the distribution of failures and successes puts him in a favorable position. e.g. for the 20 in a row to be a success in a 50% fail rate that means the previous 20 were all failures or some similar circumstances where the success rate rose over time.
sjmarf@sh.itjust.works 5 weeks ago
The normal person thinks that because the last 20 people survived, the next patient is very likely to die.
The mathematician considers that the probability of success for each surgery is independent, so in the mathematician’s eyes the next patient has a 50% chance of survival.
The scientist thinks that the statistic is probably gathered across a large number of different hospitals. They see that this particular surgery has an unusually high success rate, so they conclude that their own surgery has a >50% chance of success.
Deconceptualist@lemm.ee 5 weeks ago
Thanks. I suspect a mathematician would consider the latter point too though.
x00za@lemmy.dbzer0.com 5 weeks ago
Normal people too.
meep_launcher@lemm.ee 5 weeks ago
And my me mate paul
RecluseRamble@lemmy.dbzer0.com 5 weeks ago
The popularity of casinos and lotteries say otherwise.
arefx@lemmy.ml 5 weeks ago
Anyone with a good high school education will understand this.
Deconceptualist@lemm.ee 5 weeks ago
That’s sort of why I asked. I thought I was missing something but no, the meme is apparently assuming academic professionals are dummies. Not to say that we should expect nuance and robust portrayals from a meme.
GoodEye8@lemm.ee 5 weeks ago
sjmarf@sh.itjust.works 5 weeks ago
Yes, that’s the conclusion that the scientist has come to. The chance of getting 20 in a row is so extraordinarily unlikely that it’s reasonable to conclude that the chance is not 50/50 for that particular surgeon.