The description doesn’t fully specify what’s happening.
Yovanni is answering questions in form of “Did X win the lottery”. And gives correct answer 99% of the time. In that case you shouldn’t believe that Xavier won the lottery. If you asked the question for all the participants you’d end up with list of (in expectation) about 10′000 people for which Yovanni claimed they won the lottery.
Yovanni is making 1 claim about who won the lottery. And for questions like that Yovanni gives correct answers 99% of the time. In that case Phil got it and probability that Xavier won is 99%.
Also I think it’s better to avoid using humans in examples like that and try to use something else / not agenty. Because humans can strategically lie (for example somebody can reach very high accuracy in statements they make by talking a lot about simple arithmetic operations. If they later say you should give them money and will receive 10x as much in return then you shouldn’t conclude that there is 99+% chance this will work out and you should give them a lot of money).
The description doesn’t fully specify what’s happening.
Yovanni is answering questions in form of “Did X win the lottery”. And gives correct answer 99% of the time. In that case you shouldn’t believe that Xavier won the lottery. If you asked the question for all the participants you’d end up with list of (in expectation) about 10′000 people for which Yovanni claimed they won the lottery.
Yovanni is making 1 claim about who won the lottery. And for questions like that Yovanni gives correct answers 99% of the time. In that case Phil got it and probability that Xavier won is 99%.
Also I think it’s better to avoid using humans in examples like that and try to use something else / not agenty. Because humans can strategically lie (for example somebody can reach very high accuracy in statements they make by talking a lot about simple arithmetic operations. If they later say you should give them money and will receive 10x as much in return then you shouldn’t conclude that there is 99+% chance this will work out and you should give them a lot of money).