153957

1. 1-(224/225)^29= 0.121 (3dp), the chances of someone in the class not having the same number as me is 224/225. As there is a class of 29 other people this can be put to the power of 29. To then work out the chances of them having the same number we take this from 1.

2. Relatively likely

3. 1-((224!/195!)/225^29))=0.868, the chances of someone not having the same number as you is 224/225 if we add another person with another number that becomes 223/225 and so on. This is then put to the power of 29 to include everyone in the class

4. There are only 29 pairs of people to pair with you but many more if anybody can match with anyone else