{"id":306,"date":"2025-11-04T07:41:31","date_gmt":"2025-11-04T12:41:31","guid":{"rendered":"https:\/\/blogs.butler.edu\/victoriaatwater\/?p=306"},"modified":"2025-11-04T07:41:35","modified_gmt":"2025-11-04T12:41:35","slug":"%ce%ba%ce%bb%ce%b1%cf%83%ce%b9%ce%ba%ce%ae-%cf%81%ce%bf%cf%85%ce%bb%ce%ad%cf%84%ce%b1-%ce%bc%ce%b5-%ce%bc%ce%b5%ce%b3%ce%ac%ce%bb%ce%b1-%ce%ba%ce%ad%cf%81%ce%b4%ce%b7-%cf%83%ce%b5-%ce%b5%ce%bb%ce%bb","status":"publish","type":"post","link":"https:\/\/blogs.butler.edu\/victoriaatwater\/2025\/11\/04\/%ce%ba%ce%bb%ce%b1%cf%83%ce%b9%ce%ba%ce%ae-%cf%81%ce%bf%cf%85%ce%bb%ce%ad%cf%84%ce%b1-%ce%bc%ce%b5-%ce%bc%ce%b5%ce%b3%ce%ac%ce%bb%ce%b1-%ce%ba%ce%ad%cf%81%ce%b4%ce%b7-%cf%83%ce%b5-%ce%b5%ce%bb%ce%bb\/","title":{"rendered":"\u039a\u03bb\u03b1\u03c3\u03b9\u03ba\u03ae \u03c1\u03bf\u03c5\u03bb\u03ad\u03c4\u03b1 \u03bc\u03b5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b1 \u03ba\u03ad\u03c1\u03b4\u03b7 \u03c3\u03b5 \u03b5\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ac \u03ba\u03b1\u03b6\u03af\u03bd\u03bf"},"content":{"rendered":"

\u0397 \u03c1\u03bf\u03c5\u03bb\u03ad\u03c4\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03b4\u03b7\u03bc\u03bf\u03c6\u03b9\u03bb\u03ad\u03c3\u03c4\u03b5\u03c1\u03b1 \u03c0\u03b1\u03b9\u03c7\u03bd\u03af\u03b4\u03b9\u03b1 \u03ba\u03b1\u03b6\u03af\u03bd\u03bf \u03c3\u03b5 \u03cc\u03bb\u03bf \u03c4\u03bf\u03bd \u03ba\u03cc\u03c3\u03bc\u03bf, \u03ba\u03b1\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc \u03b3\u03b9\u03b1 \u03c4\u03b9\u03c2 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b5\u03c2 \u03ba\u03b5\u03c1\u03b4\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03b5\u03b9.\u0397 \u03ba\u03bb\u03b1\u03c3\u03b9\u03ba\u03ae \u03b5\u03ba\u03b4\u03bf\u03c7\u03ae \u03c4\u03b7\u03c2 \u03c1\u03bf\u03c5\u03bb\u03ad\u03c4\u03b1\u03c2 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03bd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03c0\u03b9\u03bf \u03b4\u03b7\u03bc\u03bf\u03c6\u03b9\u03bb\u03b5\u03af\u03c2 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ad\u03c2 \u03b3\u03b9\u03b1 \u03c0\u03bf\u03bb\u03bb\u03bf\u03cd\u03c2 \u03c0\u03b1\u03af\u03ba\u03c4\u03b5\u03c2, \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03b5\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ac \u03ba\u03b1\u03b6\u03af\u03bd\u03bf \u03b4\u03b5\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03bf\u03cd\u03bd \u03b5\u03be\u03b1\u03af\u03c1\u03b5\u03c3\u03b7.\u03a3\u03b5 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf, \u03b8\u03b1 \u03b5\u03be\u03b5\u03c4\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c0\u03ce\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03b1\u03c0\u03bf\u03bb\u03b1\u03cd\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03ba\u03bb\u03b1\u03c3\u03b9\u03ba\u03ae \u03c1\u03bf\u03c5\u03bb\u03ad\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03ba\u03b5\u03c1\u03b4\u03af\u03c3\u03b5\u03c4\u03b5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b1 \u03c0\u03bf\u03c3\u03ac \u03c3\u03b5 \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03b1 \u03b5\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ac \u03ba\u03b1\u03b6\u03af\u03bd\u03bf.<\/p>\n

\u03a7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03ba\u03b1\u03b9 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ac \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03ba\u03bb\u03b1\u03c3\u03b9\u03ba\u03ae \u03c1\u03bf\u03c5\u03bb\u03ad\u03c4\u03b1<\/h2>\n

\u0397 \u03ba\u03bb\u03b1\u03c3\u03b9\u03ba\u03ae \u03c1\u03bf\u03c5\u03bb\u03ad\u03c4\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c0\u03b1\u03b9\u03c7\u03bd\u03af\u03b4\u03b9 \u03c4\u03cd\u03c7\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03b5\u03c6\u03cc\u03bc\u03b5\u03bd\u03bf \u03c4\u03c1\u03bf\u03c7\u03cc \u03bc\u03b5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf 0 \u03ad\u03c9\u03c2 \u03c4\u03bf \u03c0\u03c9\u03c2 \u03c0\u03b1\u03b9\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b7 \u03c1\u03bf\u03c5\u03bb\u03b5\u03c4\u03b1<\/a> 36.\u039f \u03c3\u03c4\u03cc\u03c7\u03bf\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ad\u03c8\u03b5\u03c4\u03b5 \u03c3\u03b5 \u03c0\u03bf\u03b9\u03cc\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03b8\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bb\u03ae\u03be\u03b5\u03b9 \u03b7 \u03bc\u03c0\u03af\u03bb\u03b9\u03b1 \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf\u03bd \u03c4\u03c1\u03bf\u03c7\u03cc.\u039c\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03c3\u03b5\u03c4\u03b5 \u03c3\u03b5 \u03bc\u03b5\u03bc\u03bf\u03bd\u03c9\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2, \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd, \u03c7\u03c1\u03ce\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03b5\u03c2 \u03b5\u03b9\u03b4\u03b9\u03ba\u03ad\u03c2 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ad\u03c2 \u03c3\u03c4\u03bf \u03c4\u03c1\u03b1\u03c0\u03ad\u03b6\u03b9 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd.<\/p>\n

\u03a0\u03bb\u03b5\u03bf\u03bd\u03b5\u03ba\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03bc\u03b5\u03b9\u03bf\u03bd\u03b5\u03ba\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1<\/h2>\n\n\n\n\n
\u03a0\u03bb\u03b5\u03bf\u03bd\u03b5\u03ba\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1<\/th>\n\u039c\u03b5\u03b9\u03bf\u03bd\u03b5\u03ba\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1<\/th>\n<\/tr>\n
\u03a5\u03c8\u03b7\u03bb\u03ad\u03c2 \u03c0\u03b9\u03b8\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03ba\u03b5\u03c1\u03b4\u03ce\u03bd<\/td>\n\u03a5\u03c8\u03b7\u03bb\u03cc House Edge<\/td>\n<\/tr>\n
\u0391\u03c0\u03bb\u03cc \u03c0\u03b1\u03b9\u03c7\u03bd\u03af\u03b4\u03b9 \u03bc\u03b5 \u03b5\u03cd\u03ba\u03bf\u03bb\u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7<\/td>\n\u0395\u03bd\u03b4\u03b5\u03c7\u03cc\u03bc\u03b5\u03bd\u03b7 \u03b5\u03b8\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1<\/td>\n<\/tr>\n<\/table>\n

\u039a\u03b1\u03b6\u03af\u03bd\u03bf \u03cc\u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03c0\u03b1\u03af\u03be\u03b5\u03c4\u03b5 \u03ba\u03bb\u03b1\u03c3\u03b9\u03ba\u03ae \u03c1\u03bf\u03c5\u03bb\u03ad\u03c4\u03b1<\/h2>\n

1.\u039a\u03b1\u03b6\u03af\u03bd\u03bf \u0391\u03b8\u03b7\u03bd\u03ce\u03bd<\/strong>
\n 2.\u039a\u03b1\u03b6\u03af\u03bd\u03bf \u039b\u03bf\u03c5\u03c4\u03c1\u03b1\u03ba\u03af\u03bf\u03c5<\/strong>
\n 3.\u039a\u03b1\u03b6\u03af\u03bd\u03bf \u0398\u03b5\u03c3\u03c3\u03b1\u03bb\u03bf\u03bd\u03af\u03ba\u03b7\u03c2<\/strong>
\n 4.\u039a\u03b1\u03b6\u03af\u03bd\u03bf \u03a1\u03cc\u03b4\u03bf\u03c5<\/strong>
\n 5.\u039a\u03b1\u03b6\u03af\u03bd\u03bf \u03a0\u03ac\u03c1\u03bd\u03b7\u03b8\u03b1\u03c2<\/strong>\n<\/p>\n

\u03a3\u03c5\u03bc\u03b2\u03bf\u03c5\u03bb\u03ad\u03c2 \u03c0\u03b1\u03b9\u03c7\u03bd\u03b9\u03b4\u03b9\u03bf\u03cd<\/h2>\n

\u0393\u03b9\u03b1 \u03bd\u03b1 \u03b1\u03c5\u03be\u03ae\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03b9\u03b8\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03bd\u03af\u03ba\u03b7\u03c2 \u03c3\u03b1\u03c2 \u03c3\u03c4\u03b7\u03bd \u03ba\u03bb\u03b1\u03c3\u03b9\u03ba\u03ae \u03c1\u03bf\u03c5\u03bb\u03ad\u03c4\u03b1, \u03c0\u03c1\u03bf\u03c4\u03b5\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03c0\u03b1\u03c1\u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03b5\u03af\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c4\u03ac\u03c3\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03b1\u03b9\u03c7\u03bd\u03b9\u03b4\u03b9\u03bf\u03cd \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03c4\u03b5 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03bf\u03cd \u03cc\u03c0\u03c9\u03c2 \u03c4\u03bf Martingale \u03ae \u03c4\u03bf D’Alembert.\u0395\u03c0\u03af\u03c3\u03b7\u03c2, \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc \u03bd\u03b1 \u03b8\u03ad\u03c3\u03b5\u03c4\u03b5 \u03cc\u03c1\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03bc\u03b7\u03bd \u03c5\u03c0\u03b5\u03c1\u03b2\u03b1\u03af\u03bd\u03b5\u03c4\u03b5 \u03c4\u03bf\u03bd \u03c0\u03c1\u03bf\u03ba\u03b1\u03b8\u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03c0\u03c1\u03bf\u03cb\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc \u03c3\u03b1\u03c2.<\/p>\n

\u03a0\u03ce\u03c2 \u03bd\u03b1 \u03b5\u03bb\u03ad\u03b3\u03be\u03b5\u03c4\u03b5 \u03c4\u03b7 \u03b4\u03b9\u03ba\u03b1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03b1\u03b9\u03c7\u03bd\u03b9\u03b4\u03b9\u03bf\u03cd<\/h2>\n
    \n
  1. \u0392\u03b5\u03b2\u03b1\u03b9\u03c9\u03b8\u03b5\u03af\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03ba\u03b1\u03b6\u03af\u03bd\u03bf \u03ad\u03c7\u03b5\u03b9 \u03ac\u03b4\u03b5\u03b9\u03b1 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03af\u03b1\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ae \u03b1\u03c1\u03c7\u03ae \u03c4\u03c5\u03c7\u03b5\u03c1\u03ce\u03bd \u03c0\u03b1\u03b9\u03b3\u03bd\u03af\u03c9\u03bd<\/li>\n
  2. \u0395\u03bb\u03ad\u03b3\u03be\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c0\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 RNG (Random Number Generator) \u03c4\u03bf\u03c5 \u03c0\u03b1\u03b9\u03c7\u03bd\u03b9\u03b4\u03b9\u03bf\u03cd<\/li>\n
  3. \u0391\u03bd\u03b1\u03c4\u03c1\u03ad\u03be\u03c4\u03b5 \u03c3\u03b5 \u03b1\u03be\u03b9\u03cc\u03c0\u03b9\u03c3\u03c4\u03b5\u03c2 \u03ba\u03c1\u03b9\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c0\u03b1\u03b9\u03ba\u03c4\u03ce\u03bd \u03b3\u03b9\u03b1 \u03c4\u03bf \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf \u03ba\u03b1\u03b6\u03af\u03bd\u03bf<\/li>\n<\/ol>\n

    \u039c\u03b5 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03c4\u03b9\u03c2 \u03ba\u03b1\u03c4\u03b5\u03c5\u03b8\u03c5\u03bd\u03c4\u03ae\u03c1\u03b9\u03b5\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03c2, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03b5\u03af\u03c3\u03c4\u03b5 \u03b2\u03ad\u03b2\u03b1\u03b9\u03bf\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c0\u03b1\u03b9\u03c7\u03bd\u03af\u03b4\u03b9 \u03c3\u03b1\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03af\u03ba\u03b1\u03b9\u03bf \u03ba\u03b1\u03b9 \u03b1\u03c3\u03c6\u03b1\u03bb\u03ad\u03c2.<\/p>\n","protected":false},"excerpt":{"rendered":"

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