[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-571597-105":53,"doc-detail-571597-en":127},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":120,"head_meta":122,"extra_data":124,"updated_unix":126},105,"en","mathematics-of-card-games-appendix-probability-and-rules","Mathematics of Card Games - Appendix - Probability and Rules","","Appendix section compiling probability distributions and practical decision rules for classic card games. It includes a table of probability for cribbage scores, bust odds for blackjack by dealer-hit outcomes, and a concise “basic” blackjack strategy covering hard hands, soft hands, and pairs. It also provides gameplay rule summaries for cribbage, blackjack, five-card draw poker, and Texas Hold'em, detailing dealing, betting, scoring, and turn-by-turn actions to support analytical play.",{"@graph":63,"@context":119},[64,80,102],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":11,"@type":70,"position":76},"https://docshare.wps.com/template/presentations/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/mathematics-of-card-games-appendix-probability-and-rules/571597/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/mathematics-of-card-games-appendix-probability-and-rules/571597.png","ImageObject",442,249,{"name":88,"@type":89},"Mabel","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-20","2026-10-13",true,{"@type":98,"interactionType":99,"userInteractionCount":101},"InteractionCounter",{"@type":100},"ViewAction",8,{"@type":103,"mainEntity":104},"FAQPage",[105,111,115],{"name":106,"@type":107,"acceptedAnswer":108},"What does the cribbage score probability table provide?","Question",{"text":109,"@type":110},"It lists score values with their corresponding probabilities for cribbage outcomes.","Answer",{"name":112,"@type":107,"acceptedAnswer":113},"How are blackjack bust odds presented in the appendix?",{"text":114,"@type":110},"They are shown by dealer-hit hand values with the percentage chance to bust when you hit.",{"name":116,"@type":107,"acceptedAnswer":117},"What key gameplay phases are described for cribbage?",{"text":118,"@type":110},"The document outlines the deal, play, and show phases, including cutting, forming the crib, cumulative card placement up to 31, and final scoring with the starter card and crib.","https://schema.org",{"og:url":78,"og:type":121,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":123,"canonical":78},"index,follow",{"doc_id":125,"site_id":56},571597,1792022994,{"code":4,"msg":5,"data":128},{"doc_id":125,"user_id":129,"nickname":88,"user_avatar":130,"doc_module":9,"category_id":8,"category_name":11,"doc_title":59,"doc_description":61,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":101,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":47,"language":136,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":61,"update_tm":140,"read_time":73},7971474920318,"https://ap-avatar.wpscdn.com/avatar/74000ee537e6b0ca360?x-image-process=image/resize,m_fixed,w_180,h_180&k=1788430171632181674","Mathematics of Card Games Appendix  \nProbability of Cribbage Scores  \nScore Probability  \n0 0.0788  \n1 0.007801  \n2 0.2188  \n3 0.03929  \n4 0.2212  \n5 0.05419  \n6 0.1375  \n7 0.05803  \n8 0.08604  \n9 0.02719  \n10 0.02887  \n11 0.003241  \n12 0.02374  \n13 0.001172  \n14 0.006729  \n15 0.00066  \n16 0.004407  \n17 0.0008613  \n18 0.000173  \n19 0  \n20 0.0006024  \n21 0.0001902  \n22 0.00003417  \n23 0.0000274  \n24 0.0002832  \n25 0  \n26 0  \n27 0  \n28 0.00000585  \n29 0.000000308  \nBlackjack Odds of Busting  \nHand Value % Bust if you Hit  \n21 100%  \n20 92%  \n19 85%  \n18 77%  \n17 69%  \n16 62%  \n15 58%  \n14 56%  \n13 39%  \n12 31%  \n11 or less 0%  \n“Basic” Blackjack Strategy  \nHard Hands: Starting hand does not contain an Ace  \n• If you have eight or less, always hit.  \n• If you have Nine: Double if the dealer has 3 thru 6-otherwise hit.  \n• If you have Ten : Double if the dealer has 2 thru 9-otherwise hit.  \n• If you have Eleven: Double if the dealer has 2 thru 10, Hit if dealer has Ace.  \n• If you have Twelve: Hit if the dealer has 2 or 3, Stand if the dealer has 4 thru 6, otherwise hit.  \n• If you have 13-16: Stand if the dealer has2 thru 6, otherwise hit.  \n• If you have 17-21: Always Stand. Soft Hands: Starting hand contains an Ace  \n• If you have Ace 2 or Ace 3: Double if the dealer has 5 or 6-otherwise hit.  \n• If you have Ace 4 or Ace 5: Double if the dealer has 4 thru 6-otherwise hit.  \n• If you have Ace 6: Double if the dealer has 3 thru 6-otherwise hit.  \n• If you have Ace 7: Stand if the dealer has 2, 7 or 8. Double 3-thru 6-otherwise hit.  \n• If you have Ace 8 or Ace 9: Always Stand.  \nPairs: Starting hand contains a pair  \n• If you have a pair ofAces or Eights: Always split.  \n• If you have a pair of twos or threes: Split if the dealer has 2-7, otherwise hit.  \n• If you have a pair of fours: Split if the dealer has 5 or 6-otherwise hit.  \n• If you have a pair of fives: Double if the dealer has 2 thru 9-otherwise hit.  \n• If you have a pair of sixes: Split if the dealer has 2 thru 6-otherwise hit.  \n• If you have a pair of sevens: Split 2 thru 7-otherwise hit.  \n• If you have a pair of nines: Split 2 thru 6, and 8 or 9. Stand if the dealer has 7, 10 or Ace.  \n• If you have a pair oftens: Always Stand.  \nCard Game Rules  \nCribbage Gameplay  \n1. The Deal: The players cut for first deal, and the dealer shuffles and deals five or six cards to each player, depending on the number of players. For two players, each is dealt six cards; for three or four players, each is dealt five cards. In the case of three players, a single card is dealt face down in the centre of the table to start the crib. Once the cards have been dealt, each player chooses four cards to retain, then discards the other one or two face-down to form the \"crib\" which will be used later by the dealer. At this point, each player's hand and the crib will contain exactly four cards. The player on the dealer's left cuts the deck and the  \ndealer reveals the top card, called the \"starter\". If this card is a Jack, the dealer scores two points for \"his nibs.”  \n2. The Play: Starting with the player on the dealer's left, each player lays one card in turn onto a personal discard pile, stating the cumulative value of the cards laid (for example, the first player lays a five and says \"five\", the next lays a six and says \"eleven\", and so on), without the total going above 31. Once no more cards can be played, the cumulative position is reset to zero and those players with cards remaining repeat the process until all players' cards have been played. Players score points during this process for making a total of fifteen, for reaching exactly, or as close as possible to a total of thirty-one, for runs and for pairs.  \n3. The Show: Once the play is complete, each player in turn receives points based on the content of his hand in conjunction with the starter card. Points are scored for combinations of cards totaling fifteen, runs, pairs, flushes and having nibs. The dealer scores his hand last","cbCaidtPBgaOuKEy","https://ap.wps.com/l/cbCaidtPBgaOuKEy","pdf",553542,"English","# Probability of Cribbage Scores\n# Blackjack Odds of Busting\n# Basic Blackjack Strategy\n## Hard Hands\n## Soft Hands\n## Pairs\n# Card Game Rules\n## Cribbage Gameplay\n## Blackjack Gameplay\n## Five-Card Draw Poker Gameplay\n## Texas Hold'em Poker Gameplay","[{\"question\":\"What does the cribbage score probability table provide?\",\"answer\":\"It lists score values with their corresponding probabilities for cribbage outcomes.\"},{\"question\":\"How are blackjack bust odds presented in the appendix?\",\"answer\":\"They are shown by dealer-hit hand values with the percentage chance to bust when you hit.\"},{\"question\":\"What key gameplay phases are described for cribbage?\",\"answer\":\"The document outlines the deal, play, and show phases, including cutting, forming the crib, cumulative card placement up to 31, and final scoring with the starter card and crib.\"}]","Mathematics of Card Games - Appendix - Probability and Rules | PDF",1791922567]