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 Ahoy board game (Cwali) New US $23.35 
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 BattleSpace:BattleTech Game of Space Combat box VG US $40.53
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 1978 Parker Brothers Close Encounters of the Third Kind US $12.99
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 JUMANJI Game Milton Bradley 1995 - Excellent Condition! 100% Complete! US $19.99
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 NERO- Legacy of a Despot..A Strategic Boardgame by Alexander S. Berg US $10.00
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 Hatamoto Taro Einar Heroscape Crest of the Valkyrie US $53.99
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 Ornak Utgar Flagbearer Heroscape Crest of the Valkyrie US $49.99
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 Frost Giant of Morh Heroscape Moltenclaw's Invasion D3 US $5.69
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 Star Wars special edition Trivial Pursuit. Never opened! Mint. US $250.00
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 Monopoly: Deluxe Anniversary 1991 edition VG Board US $32.28
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 Dragons of Underearth board game (Metagaming) New US $50.88
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 A CHRISTMAS STORY *YAHTZEE* Collector's Dice Game cX US $9.99
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 Legend of Spelljammer Campaign Setting Lightly US $21.42
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 The Book of Lists Game (Avalon Hill) VG Board Game US $21.44
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 The Simpsons Boardgame Don't Have a Cow Dice Game US $5.99
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 James Bond Role Playing Game US $2.50
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 Chessex (12x) 16mm D6 Gemini #26628 Blue Purple/Gold Dice D&D 40k US $8.05
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 Vintage Strip the Teasing Board Game By Onsworld 1980 - Ronald Cobb Illustration US $23.51
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 Hero Quest Board Game US $65.00
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 DICE 19mm *6/SET* TP YELLOW w/WHITE PIPS-ROUNDED! BIG! US $3.00
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 7 in 1 Magnetic Travel Game Set with Motorized Gameboard Battery Operated US $2.49
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 Board Game - Yahtzee TEXAS HOLD'EM US $19.95
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 Frustration Board game..Pop o matic dice/ complete US $5.99
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 The Spanish Civil War 1936-1939 - Opened but Never Played US $30.00
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 1976 Jedko Games FIELD MARSHAL PUNCHED Wargame US $29.99
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 WOODEN 15 IN 1 GAME CENTER w/ DRAWER US $9.99
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 DICE - *16* PIECES OF ASSORTED POLYHEDRAL DICE - A "MISH-MOSH" OF DICE! US $6.40
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 DICE - 12-SIDED DICE - 15 PIECES! OP WHITE w/RED (12) OR PURPLE (6)! US $6.00
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What is the expected value of the sum obtained by rolling all 6 dice?
Early studies were conducted by the Italian mathematician Girolamo Cardona (1501-1576). One of the many dice games that Cardona studied
was played with six 6-sided dice. Each of these six dice had five blank faces and one face with a number. The numbers 1 through 6 each appeared on one of the six dice. All 6 dice were rolled at once, and the payoff to the gambler was based on the sum of the numbers showing on the up faces.
The expected sum is the sum of the expectation for each die.
In this case, the first die has an expectation of 1/6, the second 2/6, the third 3/6, etc. So the expected value of the sum is:
(1+2+3+4+5+6)/6 = 21/6 = 3.5
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