I have a problem where 5 people put their names in a hat. Each person takes a name out, and does not replace it.
I have these two questions:
what is the probability that a person, call him "Joe" picks his own name out of the hat?
I thought about this, and if he were the first person to pick then it would be 1/5 chance that he picked his own name. But the problem does not state the order in which he picks, so I am kind of confused as to how I would fid the probability. The probability would be different depending on the order with which he pulls a name out correct?
What is the probability that 4 people pick their own name?
I am kind of stuck doing this question. I thought about doing a probability tree where I start off with the two branches of picking your own name, and not picking your own name. But I am not sure this will work.
Any help is appreciated. Thank you.