You have a bag of lots of red and white marbles. In the worst case, how many would you have to pull out to get two marbles of the same color? Four? Generalize by finding a formula for predicting the maximum number of marbles that you would have to pull out to get the same color of any amount you desire.

Question

What if there were three colors of marbles in the bag, how many would you have to pull out to get two marbles of the same color? Three? Four? Generalize by finding a formula for predicting the number of marbles you would have to pull out to get the same color of any amount you desire.

Answer 1

Asume you get one of each color in the first draws. Then the next draw would certainly repeat one of the colors.

That should start you out in getting your formula. Let c = number of colors and n = number of marbles you want of the same color.

Answer 2

but its in the WORST case scenario

You didn't really answer the question at all