Hi I just thought of this probability brain teaser that I can't wrap my head around, any solution would be great.

10 balls are put in a jar, 9 red and 1 blue. The aim of the task is to take the blue ball out. 10 people take turns at removing one of the balls. Once the ball is removed it is not put back in the jar. So when the 1st person takes a ball out, there is then 9 balls left.

In which position of the order has the highest likelihood of removing the blue ball? Obviously the person going last (10th) has 100% chance of taking out the blue ball, but the chance of the blue ball being taken out by one of the previous 9 people must also be considered.

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