User:SGBailey/Sandbox

odds (ratio)	$o_{f}$	$o_{a}$	$p$	$q$	UK fractional odds	HK odds	Decimal odds	US odds
1:1	1	1	50%	50%	1/1	1	2	+100
0:1	0	∞	0%	100%	?	?	?	?
1:0	∞	0	100%	0%	?	?	?	?
2:1	2	.5	67%	33%	2/1	2	3	+200
1:2	.5	2	33%	67%	1/2 or 2/1 against	0.5	1.5	-200
4:1	4	.25	80%	20%	4/1	4	5	+400
1:4	.25	4	20%	80%	1/4 or 4/1 against	0.25	1.25	-400
9:1	9	0.1	90%	10%	9/1	9	10	+900
10:1	10	0.1	90.90%	9.09%	10/1	10	11	+1000
99:1	99	0.01	99%	1%	99/1	99	100	+9900
100:1	100	0.01	99.0099%	0.90%	100/1	100	101	+10000

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Empires and dynasties

Empire	Origin	Capital	From	To	Duration	Note
Abd al-Wadid Dynasty	Algeria	Tlemcen	1235	1556	321
Achaemenid Empire	Persia	Various, including Pasargadae, Ecbatana, Persepolis, Susa, Babylon	550 BC	330 BC	220	Second Persian Empire, the largest Empire in Classical Antiquity, founded by Cyrus the Great.
Afsharid Dynasty	Persia	Mashhad	1736	1796	60
Akkadian Empire	Sumer	Akkad	2300 BC	2200 BC	100
Aksumite Empire	Ethiopia	Axum	150	940	790	Succeeded by the Ethiopian Empire.
Almohad Dynasty	Morocco	Marrakech, Seville	1121	1269	148
Almoravid Dynasty	Morocco	Aghmat (1040–1062) Marrakech, Córdoba (1062–1147)	1040	1147	107
Angevin Empire	England, France	No official capital. Court was generally held at Angers and Chinon	1154	1242	88
Armenian Empire	Armenia	Tigranakert	190 BC	428	618	Tigranes the Great took the title king of kings.
Ashanti Empire	West Africa	Kumasi	1670+	1902	232
Austrian Empire	Austria	Vienna	1804	1867	63	Preceded by the Holy Roman Empire.
Austro-Hungarian Empire	Austria, Hungary	Vienna and Budapest	1867	1918	51	Preceded by the Austrian Empire.
Ayyubid Dynasty	Middle East	Cairo, Damascus, Hama	1171	1341	170	Founded by Saladin, See also List of Muslim empires and dynasties.
Aztec Empire	Mesoamerica	Tenochtitlan	1428	1521	93	The capital of Mexico, Mexico City, is built on the ruins of Tenochtitlan.

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UK Jersey