162689

I collected data for 3 attempts each round in order to try and conserve points and with that found the difference in each colour represented each time and with that found the average for each colour and made a rough guess. This isn't a good, guaranteed strategy but i got 8 or above for all my attempts. A better strategy would be to find the probability for each combination and then combine that with the data collected and , by taking in the fact that is is very possible each marble would be shown more than once and some not at all, change the guess somewhat to get a more reliable, probably working strategy.