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Now I have two questions, first of all does that seem like a proper rewording to you? And secondly... What is the answer and the reasoning to reach that answer? I am terrible at probability, and while I can clearly see the problem and maybe spell out the first step or two, I am at a total loss as to how to arrive at an answer. Archie Comics: An unusual use by a good guy occurred when Archie Andrews and Moose Mason both qualified for the last spot on a school trivia team. Archie knew that Big Moose had been studying hard to compensate for his dyslexia and deserved the spot, so rather than retake the qualifying test, he proposed a coin toss to decide who would make the team - and quietly used a two-headed quarter to make sure Moose beat him. After the fall of Constantinople, the use of two-headed eagle symbols spread to Grand Duchy of Moscow after Ivan III's second marriage (1472) to Zoe Palaiologina (a niece of the last Byzantine emperor Constantine XI Palaiologos, who reigned 1449–1453), [25] The last prince of Tver, Mikhail III of Tver (1453–1505), was stamping his coins with two-headed eagle symbol. The double-headed eagle remained an important motif in the heraldry of the imperial families of Russia (the House of Romanov (1613-1762)). Eagle from Spanish Empire, 2. Eagle from Spanish Empire, 3. Eagle from Holy Roman Empire, 4. Eagle from Holy Roman Empire, 5. Eagle from Russian Empire. 6. Eagle of Saladin, 7. Eagle from New Kingdom of Granada, 8. Eagle from New Kingdom of Granada, 9. Eagle from German Empire, 10. Eagle from Polish–Lithuanian Commonwealth Later Re-emergence

And if you still think 2 heads are better than one, you may be interested in learning more about the Lincoln-Kennedy cent.

Later Re-emergence

The coin with a pencil or pen while balancing it on the tip of your finger. If you hear more of a "thud" than a "ring" the coin is a forgery. Use of a double-headed Imperial Eagle, improved from the single-headed Imperial Eagle used in the high medieval period, became current in the 15th to 16th centuries. The double-headed Reichsadler was in the coats of arms of many German cities and aristocratic families in the early modern period. A distinguishing feature of the Holy Roman eagle was that it was often depicted with haloes. In the 16th century, the double-headed eagle was the most powerful heraldic mark up to that time, as it symbolized the union of the imperial dignity of the Holy Roman Empire (the Habsburg empire) with the Spanish Monarchy. The double-headed eagle would end up being the emblem of the Habsburgs in Madrid and Vienna, becoming universal with the global expansion of the Spanish empire. A hat contains 100 coins, of which 99 are fair but one is double-headed. A coin is chosen uniformly at random. The chosen coin is flipped 7 times, and it lands heads on all 7. What is the probability that the chosen coin is double-headed? When it comes to the 1922 Double Headed Silver Dollar, there have been numerous debates over its authenticity. Some collectors and experts argue that these coins are genuine and were minted by the United States Mint, while others believe they are cleverly crafted counterfeits. The controversy stems from the fact that there is no official record of the minting of these coins, making it difficult to determine their true origin.

The 1922 Peace silver dollar is made of 90% silver and 10% copper, giving it a distinct shine and weight. Minting errors and double strikes Even more impressively, the two-headed bird is also found in Indian culture. Known as “Gandhabherunda” in India, the symbol has the same Hittite origin as the two-headed eagle in the West. A myth says that Vishnu assumed the form of a two-headed eagle to annihilate Sarabha, a form taken by Shiva to destroy Narasimha (an avatar of Vishnu) again, a sectarian device to humble a rival creed. Such a bird appears at Sirkap Stupa which usually is dated at about the beginning of the Christian era. It is depicted there sitting and turned to the dexter and this seems to have been the common attitude for centuries. It can also be found on a fresco in Brihadiswara Temple, consecrated 1010, and much later on a 16th century Vijayanagar coin. Look for a seam around the edge of the coin. This may be a bulging protrusion or two different color metals. Spider-Man In one story, the supervillain Chance had been hired to steal a liver for a dying criminal that was desperately needed by a dying young boy. After Spider-Man catches up with him and explains things, Chance puts it down to a coin toss, infuriating Spider-Man. After Chance loses, he notes that Spider-Man should have more faith and tosses him the coin so Spider-Man could see the coin was a double-headed coin, ensuring Spider-Man would win the life-saving organ.The two-headed eagle appears, often as a supporter, on the modern and historical arms and flags of Austria-Hungary, the Kingdom of Yugoslavia, Austria (1934–1938), Albania, Armenia, Montenegro, Russia and Serbia. It was also used as a charge on the Greek coat of arms for a brief period in 1925–1926. [28] It is also used in the municipal arms of a number of cities in Germany, Netherlands and Serbia, the arms and flag of the city and Province of Toledo, Spain, the arms of the town of Velletri, Italy, and the arms and flag of the city of Rijeka, Croatia. One of the most intriguing aspects of the 1922 Peace silver dollar is the presence of minting errors and double strikes on some of the coins. These errors occurred during the striking process at the United States Mint, leading to the creation of unique and highly sought-after variations of the coin. In Disney's Zorro, Uncle Esteban makes frequent use of a two-headed coin; the locals are gullible enough that he's never caught at it, though Diego recognizes the coin for what it is and realizes Esteban's up to something when he intentionally loses a coin flip to him.

Proponents of authenticity point to various physical characteristics of the coins, such as the weight, composition, and minting errors, as evidence of their legitimacy. They argue that these coins have distinct features that are consistent with other genuine coins from the same era. Mucha, Ludvík; Louda, Jiří (1985). Crampton, William G. (ed.). Webster's Concise Encyclopedia of Flags & Coats of Arms. Crescent Books. ISBN 0517497808. What is the weight? If two coins have been joined it’s not likely the weight will match a genuine coin. An Australian 5 cent piece weighs 2.83 grams. A small tolerance is within specification but if the weight is grossly higher or lower then you might not have a genuine error. Appears in one episode of Only Fools and Horses; Grandad gave Del Boy a two-headed coin, which he tries to use to win bets with Boycie. Unfortunately, because he tosses, Boycie gets to call and keeps calling heads. In the end, after Del's beaten Boycie at poker, he offers Boycie double or nothing on the coin, but because Boycie thinks the law of averages means he's bound to lose this time, Del suggests that instead Rodney could call it, as Del's representative. So he spins the coin ... and Rodney calls tails. Elsie, Robert (2010). Historical Dictionary of Albania. Scarecrow Press historical dictionary series. Vol.75 (2ed.). Scarecrow Press. ISBN 978-0810873803.

Uses for a Double-Headed Coin

Another area of controversy surrounding the 1922 Double Headed Silver Dollar is the inconsistency in grading. Grading refers to the process of evaluating the condition of a coin and assigning it a numerical grade that reflects its quality. It was from the Byzantine Empire, however, that the Turks adopted the double-headed eagle. A royal association with this emblem is suggested by its appearance on the keystone of an arch from the Seljuk citadel at Ikonion. This is made even more explicit by the double-headed eagle emblazoned with the word al-Sultan on a ceramic tile excavated at the palace of Alaeddin Kaykubad at Kubadabad, near Akşehir" Helen C. Evans, William D. Wixom, The Glory of the Byzantine Empire: Art and Culture of the Byzantine Era, A.D. 843–1261, Metropolitan Museum of Art (1997), p. 411. My answer was, naturally, 1/5. I am still of the opinion that it's the correct answer to that particular phrasing (do you agree?). But of course I was told this is a wrong answer. After some thought, I came up with the following phrasing which is what was really meant: Virtually all two-headed coins you find are made for use by illusionists and are not actual U.S. Mint products. 2-Headed Pennies Furthermore, examination of the known double headed silver dollars has revealed certain characteristics that are consistent with Denver Mint production. These characteristics include the style of the lettering and the overall quality of the coin.

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