Kitsune bakuchi

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Template:Short description Script error: No such module "Unsubst". Template:Italic title Script error: No such module "Nihongo". is a dice game from Japan in which a player rolls three dice; if the roll results in a triple, i.e., each dice shows the same number, they win four times the amount wagered. The term literally means "fox gambling."[1]Template:Rp

Probability

File:Three Dices Get Together.jpg
Three dice, showing 3-3-1. This would be a losing throw in kitsune bakuchi.

There are only six triples (winning throws) out of 216 total possible throws, so the winning probability is <templatestyles src="Fraction/styles.css" />6216 = <templatestyles src="Fraction/styles.css" />136. Thus the house edge with a standard payout of 4× the original bet is <templatestyles src="Fraction/styles.css" />210216 – (4-1)·<templatestyles src="Fraction/styles.css" />6216 = 95.8%; a fair game of Kitsune Bakuchi with zero house edge would pay out winnings at 36 for 1, i.e., the winning player would receive their bet back plus a bonus equal to 35 times the original bet.

Similar games

There are several dice games whose names include Script error: No such module "Nihongo"., dating from the Edo period:[2]

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This is an alternate name for Script error: No such module "lang"., which uses a single die. Players wager on a single number, and receive 5× the original bet if the bet matches the number that is rolled. In this case the house edge is 16.7%.[3]
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This is a subset of Script error: No such module "lang". or chuck-a-luck, both of which use three dice. Players wager on a single number, and the payout varies depending on how many dice show that number; if only one die matches, the payout is 1:1; if two match, it is 3:1; and if three match, it is 4:1. In this case the house edge is 40.3%.
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This is a variant of Bầu cua tôm cá, Crown and Anchor, and Hoo Hey How, each of which uses three dice with special symbols; in Fox Chobo, standard dice are used.[4] Again, players wager on a single number, and the payout is slightly different: 1:1 for one match, 3:1 for two matches, and 5:1 for three matches; this reduces the house edge to 39.8%. There are two special rolls which result in an automatic win for the dealer, which are 4-5-1 and 3-2-6.[5]
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Like Script error: No such module "lang"., this game uses two dice. Players bet on one number, with a payout of 3:1 for a single match and 4:1 for a pair. However, the dealer selects two numbers before rolling; if both numbers are matched, the dealer wins all bets. The house edge is 2.78%.[5]

Sources

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  1. Template:Trim Musui's Story: The Autobiography of a Tokugawa Samurai at Google Books
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External links

  • Notes, page 167. Kokichi, Katsu. Musui's Story: The Autobiography of a Tokugawa Samurai. Translated: Craig, Teruko. Arizona press: 1988.
  • Script error: No such module "citation/CS1". Self-published Script error: No such module "lang". based on the autobiography of Katsu Kokichi.

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