If Alyosha didn't die, it meant that the poison was probably in someone else's food. Not Alyosha's food. However, Jean himself brought the food to Alyosha's table. It is impossible if there is an error in the presentation.
Jean glanced at the other diners who were there. In Jean's estimation, if anyone had eaten the poison, within three minutes that person would have been dead. But not a single person who was there had any symptoms of poisoning. They all look fine without any strange occurrences.
'Did I enter the wrong poison? no, I'm sure that the poison is arsenic and Digoxin. I've never been careless in doing my job,' said Jean in her mind.