# Calculating a probability for an individual not selected

I just had my first lecture in statistics and we were left with a question before the class ended, and I have no idea how to solve it.

The question goes: Every day at training camp there will be a drawing of lots to figure out, who has to do the dishes. Every day there will be 4 people doing the dishes and there is a total of 35 people. The possibility of getting chosen is equal for everybody, every day. Calculate the probability that a random person will NOT be chosen during the entire camp, which lasts for 7 days.

I have no idea what to search for on Google, so if anyone can guide me to either the solution or a link, it would be much appreciated.

Thank you.

• I suspect several thousand posts on this site answer some variant of this question. Here's a search that turns up some: stats.stackexchange.com/search?q=probability+not+self-study.
– whuber
Dec 8, 2017 at 17:28
• Does your teacher expect you to solve this problem after one lecture and a Google search? Dec 8, 2017 at 20:23