I have a real life probability problem, but I will break it down to an urn problem.
- The situation: There are $30$ balls in total. They have $5$ different colors. There are two balls from each color #1 through #4. The other $22$ balls are all of color #5.
- The question: What is the probability of having at least $1$ ball from color 1# through 4# after $n$ draws (without putting the balls back into the urn)?
Sadly real life seems to me more complex than stuff I did in school :( Could you explain how to approach this problem?