I just thought of this question:

Scenario:

There are 350 people attending a celebration dinner.

Seated at every table are 10 people (35 tables).

One of the event is a lucky draw with 35 prizes to be given out by drawing numbers electronically.

Assumptions (if necessary):

1) Nobody can get a prize twice.

2) Everybody stays until the end of the event.

3) The drawing of the numbers is fair.

Question:

1) What is the chance that a person gets a prize?

2) What is the chance that at least one person from a table gets a prize?

3) What is the chance that everybody from a table gets a prize?

Anybody can help me? Please show your working and answers clearly documented.