Luck and Probability in Rio Rainbow Gate
Since I had a little downtime a couple weeks ago, I decided to give some series from the last couple of years a second go. One of those series was Rio: Rainbow Gate, a 13-episode anime from 2011 about Rio, a popular casino dealer, and her quest to become the MVCD (most valuable casino dealer). A lot of people have already reviewed Rio: Rainbow Gate so I won’t go there. Instead, let’s consider if Rio really is a goddess of luck or if she wins through calculated risks.
The first two episodes deal with games where you can determine the probability of an outcome: poker and roulette. In the first episode, Rio plays one round of draw poker with her decency on the line. Each player is dealt 5 cards and they may discard any number of cards from their hand and draw the same number of cards once. When the players have all drawn their cards, they reveal their hands and whoever has the highest hand wins. Poker hands are ranked from lowest to highest as follows: high card, single pair, double pair, three of a kind, straight, flush, full house, four of a kind, and straight flush. More information on what each hand is can be found on Wikipedia. To get a feel for how likely it is to get each hand, you can actually play the game at www.partycasino.com. Rio’s opponent was dealt a near royal flush, needing only to obtain an ace of hearts or a 9 of hearts to get a straight flush. His chances of getting a straight or higher were at 16.7%, but he opted to only keep a queen, hoping to get a 4 of a kind (the probability of which is less than 1%).



