I've got a probability problem based on the following problem.
I provided some scenarios which I need to solve but I'm thankful for any hints or links on how to solve just one of them or how to described this scenario (and/or solutions) in proper 'mathematical notaion'

The Problem:
An urn contains 10 balls numbered from 1 to 10, every number occurs excactly once.
Person A picks balls from the urne and distributes the balls randomly among 4 other persons, say persons B, C, D and E (it is not neccessary for every person to get the same amount of balls). 
After the distribution process, person C picks $N$ ball(s) from its own urn, which holds another 10 balls, again numbered from 1 to 10.
What is the probability that person C received one or more balls from person A which have the same number as the ball(s) person C just picked from its own urn?

Some scenarios:
Scenario 1: Person C received one ball with nr.7. What is the probability that person C picks the ball with the same number (7) from its own urn?
Scenario 2: Person C received two balls with nr.7 and nr.8. What is the probability that person C picks the same two balls (7 and 8) from its own urn?
Scenario 3: Person C received two balls with nr.7 and nr.8. What is the probability that person C picks one ball from its own urn which number is either 7 or 8?
Scenario 4: Person C received one ball with nr.7. What is the probability that person C picks two balls of its own urn out of which one is ball nr.7?
Scenario 5: Person C received one ball with nr.7 and person D received three other balls, say balls 4, 5 and 6. What is the probability that person C picks one ball from its own urn which number is either 4, 5, 6 or 7? (Person C and person D are merged, they count as one)


Question: What is the Evangelical Christian argument against Rob Bell?
Answer: This article at Christian Post summarizes the controversy pretty well.

The beginning of the disagreement came when Rob Bell published a book called Love Wins. In it, he espouses a theology of hell which many read as universalism, the idea that God saves everyone, and that hell is not eternal.  In response, John Piper simply tweeted "Farewell, Rob Rob Bell."

To compound matters, Bell resigned from the church he started - Mars Hill - to begin a speaking tour. As Rick Warren calls it, doing that created a situation in which there is "full visibility and no accountability."  To phrase that far more bluntly, he was basically saying that Bell was neglecting the Gospel and becoming an "attention whore."

In short, many prominent evangelicals find Bell's actions to be inconsistent with an authentic Evangelical witness.