{"id":1597,"date":"2020-02-09T18:06:40","date_gmt":"2020-02-09T18:06:40","guid":{"rendered":"https:\/\/presswiki.allmath.gr\/wpwiki18\/?p=1597"},"modified":"2020-02-09T18:11:45","modified_gmt":"2020-02-09T18:11:45","slug":"%cf%83%cf%84%ce%b1%cf%84%ce%b9%cf%83%cf%84%ce%b9%ce%ba%ce%ae-2019%ce%b33","status":"publish","type":"post","link":"https:\/\/presswiki.allmath.gr\/wpwiki18\/2020\/02\/09\/18\/06\/40\/1597\/","title":{"rendered":"\u03a3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae 2019\u03933"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large\"><img width=\"784\" height=\"229\" src=\"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2020\/02\/image-6.png\" alt=\"\" class=\"wp-image-1599\" srcset=\"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2020\/02\/image-6.png 784w, https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2020\/02\/image-6-300x88.png 300w, https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2020\/02\/image-6-768x224.png 768w\" sizes=\"(max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/figure>\n\n\n\n<p>\u0398\u03b5\u03c9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf \u03b5\u03bd\u03b4\u03b5\u03c7\u03cc\u03bc\u03b5\u03bd\u03bf \u0391= {\u03b7 \u03c1\u03af\u03c8\u03b7 \u03c4\u03bf\u03c5 \u03b6\u03b1\u03c1\u03b9\u03bf\u03cd \u03c6\u03ad\u03c1\u03b5\u03b9 1}<\/p>\n\n\n\n<p>\u03a4\u03cc\u03c4\u03b5 A&#8217; = { \u0397 \u03c1\u03af\u03c8\u03b7 \u03c4\u03bf\u03c5 \u03b6\u03b1\u03c1\u03b9\u03bf\u03cd \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 1}.<\/p>\n\n\n\n<p>P(A)= 1\/6 \u03ba\u03b1\u03b9 P(A&#8217;)= 5\/6<\/p>\n\n\n\n<p>\u0391\u03bd \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03ac\u03b2\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03c0\u03b5\u03af\u03c1\u03b1\u03bc\u03b1 \u03bd \u03c6\u03bf\u03c1\u03ad\u03c2 \u03c4\u03cc\u03c4\u03b5 \u03b7 \u03c0\u03b9\u03b8\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bd\u03b1 \u03bc\u03b7\u03bd \u03ad\u03c1\u03b8\u03b5\u03b9 \u03ba\u03b1\u03bd\u03ad\u03bd\u03b1 \u03ad\u03bd\u03b1 \u03c3\u03c4\u03b9\u03c2 \u03bd \u03c6\u03bf\u03c1\u03ad\u03c2 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 P(A&#8217; A&#8217; A&#8217; &#8230;.A&#8217;) \u03bd \u03c6\u03bf\u03c1\u03ad\u03c2 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae $$P(A&#8217;) P(A&#8217;)&#8230;P(A&#8217;) = (5\/6)^\u03bd$$<\/p>\n\n\n\n<p>\u03a3\u03c5\u03bd\u03b5\u03c0\u03ce\u03c2 \u03b7 \u03c0\u03b9\u03b8\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bd\u03b1 \u03ad\u03c1\u03b8\u03b5\u03b9 1 \u03bc\u03b5\u03c4\u03ac \u03b1\u03c0\u03cc \u03bd \u03c6\u03bf\u03c1\u03ad\u03c2 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9:<\/p>\n\n\n\n<p>$$1 &#8211; \\left(\\frac{5}{6}\\right)^n = 0,99 \\Leftrightarrow \\left(\\frac{5}{6}\\right)^n = 0,01 \\Leftrightarrow n\\ln(5\/6) = \\ln(0,01) \\Leftrightarrow n = 25.26$$<\/p>\n\n\n\n<p>\u0386\u03c1\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b3\u03af\u03bd\u03bf\u03c5\u03bd 26 \u03c1\u03af\u03c8\u03b5\u03b9\u03c2.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0398\u03b5\u03c9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf \u03b5\u03bd\u03b4\u03b5\u03c7\u03cc\u03bc\u03b5\u03bd\u03bf \u0391= {\u03b7 \u03c1\u03af\u03c8\u03b7 \u03c4\u03bf\u03c5 \u03b6\u03b1\u03c1\u03b9\u03bf\u03cd \u03c6\u03ad\u03c1\u03b5\u03b9 1} \u03a4\u03cc\u03c4\u03b5 A&#8217; = { \u0397 \u03c1\u03af\u03c8\u03b7 \u03c4\u03bf\u03c5 \u03b6\u03b1\u03c1\u03b9\u03bf\u03cd \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 1}. P(A)= 1\/6 \u03ba\u03b1\u03b9 P(A&#8217;)= 5\/6 \u0391\u03bd \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03ac\u03b2\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03c0\u03b5\u03af\u03c1\u03b1\u03bc\u03b1 \u03bd \u03c6\u03bf\u03c1\u03ad\u03c2 \u03c4\u03cc\u03c4\u03b5 \u03b7 \u03c0\u03b9\u03b8\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bd\u03b1 \u03bc\u03b7\u03bd \u03ad\u03c1\u03b8\u03b5\u03b9 \u03ba\u03b1\u03bd\u03ad\u03bd\u03b1 \u03ad\u03bd\u03b1 \u03c3\u03c4\u03b9\u03c2 \u03bd \u03c6\u03bf\u03c1\u03ad\u03c2 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 P(A&#8217; A&#8217; A&#8217; &#8230;.A&#8217;) \u03bd \u03c6\u03bf\u03c1\u03ad\u03c2 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae $$P(A&#8217;) P(A&#8217;)&#8230;P(A&#8217;) = &hellip; <a href=\"https:\/\/presswiki.allmath.gr\/wpwiki18\/2020\/02\/09\/18\/06\/40\/1597\/\" class=\"more-link\">\u0394\u03b9\u03b1\u03b2\u03ac\u03c3\u03c4\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1<span class=\"screen-reader-text\"> &#8220;\u03a3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae 2019\u03933&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[3],"tags":[31,134],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts\/1597"}],"collection":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/comments?post=1597"}],"version-history":[{"count":3,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts\/1597\/revisions"}],"predecessor-version":[{"id":1603,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts\/1597\/revisions\/1603"}],"wp:attachment":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/media?parent=1597"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/categories?post=1597"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/tags?post=1597"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}