![]() ![]() In principle, any ship of the seven presented here are candidates, however, the smart money is on either Yamato or Iowa. In other words, anti-aircraft and secondary armament and all that foo-foo stuff will be considered irrelevant. The H EAVYWEIGHT CHAMPION title goes to the ship who can step into the ring and go toe-to-toe, one-on-one with any other guy, at whatever range, and have the best chance of winning. For the purposes of this discussion, we're going to actually award not one, but four prizes: This entry was posted in Maths is Fun! - Maths Elective and tagged Battleship, Chance, probability on Decemby User deactivated.With these prophetic words, I present my new, updated answer to the age-old question: which battleship was the best one out there? Available at: (Accessed: 1 December 2015) (2015) ‘The mathematically proven winning strategy for 14 of the most popular games’, The Washington Post, 8 May. (2011) ‘Algorithm for Playing Battleship’, DataGenetics, December. Available at: (Accessed: 1 December 2015)īarry, N. Therefore, Battleship could be used to reinforce these concepts.Īlemi (2011) ‘The Linear Theory of Battleship’, The Physics Viruosi, 3 October. Furthermore, this links to the fundamental concept of chance and probability. Battleship is a game most children know and could create a relevant context for their learning. This could be applied to my future practice, as students could carry out investigations and draw their own conclusions. It would be very interesting to investigate which one of these two approaches, would result in the highest chance of winning at Battleships. ![]() ![]() This is because even the smallest ship has to cover two squares. By only firing at either blue or white squares chances of getting a hit are maximised (Barry, 2011). By analysing the grid in terms of a checkerboard (left) he could increase chances of a hit. He uses a different technique to maximise chances of winning at battleships. When looking into strategies to win at Battleship further, I came across Nick Barry’s research. This means that chances of getting a hit are much greater in the centre. In the corners the any ship can only be laid out in two different ways, while in the centre there are ten ways. According to Alemi (2011) the reason for the differences in chances of getting a hit is due to the ways in which the ships can be laid out. I started to wonder why there is a greater chance of getting a hit in the centre of the grid. Chances of getting a hit in the centre is 20%, while there is only an 8% chance of getting a hit in the corners (Swanson, 2015). The darker the colour, the less likely a hit is and the lighter the colour the more likely a hit is. The probabilities of getting a hit are shown on the diagram to the left. He also stated that chances of getting a hit in the corners is least likely. However after looking into the mathematics behind battleships, I discovered this not to be the case.Īlemi (2011) presented his linear theory of battleships, stating that there is a greater chance of getting a hit closer to the centre of the 10 x 10 gird. This would mean that the chances of a hit would be (17 / 100) x 100 = 17%. Initially I thought there would be equal chances of getting a hit on each square. This means that the total number of squares covered by ships in the 100 square grid will be 5 + 4 + 3 + 3 + 2 = 17. The ships have the lengths 5, 4, 3, 3 and 2. At first I was unsure whether there is any mathematics involved in the game Battleships but after doing some research into this game, I came across some very interesting mathematical strategies to maximise ones chances of winning at Battleships.įor this investigations, let’s assume we play on a a 10 x 10 grid and there are five different ships. Yesterday we looked into the mathematics behind board games and this inspired me to look into a game I used to play a lot as a child.
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