There are M gold fish and K silver fish in a lake. They are caught and eaten one at a time at random until only one color of fish remains in the lake. One of the silver fish is named George. Find the probability George is not eaten. (Answer should be in a very simple form.)
The probability of George is not eaten equal to it is not caught, which equals to 1 minus probability that George be caught.
$P=1-\frac{C_{K}^{1}}{C_{M+K}^{1}}$
