{"id":394,"date":"2023-08-01T05:09:32","date_gmt":"2023-08-01T05:09:32","guid":{"rendered":"https:\/\/statorials.org\/tr\/olaylarin-birlesme-olasiligi\/"},"modified":"2023-08-01T05:09:32","modified_gmt":"2023-08-01T05:09:32","slug":"olaylarin-birlesme-olasiligi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/olaylarin-birlesme-olasiligi\/","title":{"rendered":"Olaylar\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131"},"content":{"rendered":"<p>Bu yaz\u0131m\u0131zda olaylar\u0131n birle\u015fim olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz. B\u00f6ylece olaylar\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131 form\u00fcl\u00fcn\u00fcn ne oldu\u011funu ve ayr\u0131ca ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclen al\u0131\u015ft\u0131rmalar\u0131 \u00f6\u011freneceksiniz.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-union-de-sucesos\"><\/span> Olaylar\u0131n birli\u011fi nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Olas\u0131l\u0131k teorisinde <strong>olaylar\u0131n birle\u015fimi<\/strong> , sonucu i\u015flem k\u00fcmesindeki t\u00fcm <a href=\"https:\/\/statorials.org\/tr\/basit-olay-temel-olay\/\">temel olaylardan<\/a> olu\u015fan bir olay i\u015flemidir. Ba\u015fka bir deyi\u015fle, A ve B gibi iki olay\u0131n birle\u015fimi, A&#8217;da, B&#8217;de veya her ikisinde de bulunan olaylar k\u00fcmesidir.<\/p>\n<p> \u0130ki olay\u0131n birle\u015fimi \u22c3 sembol\u00fc ile ifade edilir. B\u00f6ylece A ve B olaylar\u0131n\u0131n birle\u015fimi A\u22c3B olarak yaz\u0131l\u0131r.<\/p>\n<p> \u00d6rne\u011fin, rastgele bir zar atma deneyinde, e\u011fer bir olay A={1, 3, 5} tek say\u0131 atarsa ve ba\u015fka bir olay \u00fc\u00e7ten k\u00fc\u00e7\u00fck bir say\u0131 atarsa B={1, 2}, ikisinin birle\u015fimi olaylar A\u22c3B={1, 2, 3, 5}&#8217;tir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-probabilidad-de-la-union-de-sucesos\"><\/span> Olaylar\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131 form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0130ki olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131,<\/strong> ilk olay\u0131n olas\u0131l\u0131\u011f\u0131 art\u0131 ikinci olay\u0131n olas\u0131l\u0131\u011f\u0131 eksi iki olay\u0131n kesi\u015fme olas\u0131l\u0131\u011f\u0131na e\u015fittir.<\/p>\n<p> Yani <strong>iki olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131 form\u00fcl\u00fc<\/strong> P(A\u22c3B)=P(A)+P(B)-P(A\u22c2B) \u015feklindedir.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be7c6347c0f331eeb6540ac9e15081dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)=P(A)+P(B)-P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"299\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:7px\"> Alt\u0131n:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:8px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e79827dee6ad7d53b96b5497d617f7c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p> A olay\u0131 ile B olay\u0131n\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:8px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f0e9e218bb5d81f21881e6c57e37c7a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"40\" style=\"vertical-align: -5px;\"><\/p>\n<p> A olay\u0131n\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:8px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3cf84b3bfcc955798a43fce91458ff42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"41\" style=\"vertical-align: -5px;\"><\/p>\n<p> B olay\u0131n\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:8px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5e28c16735c6423d27941ce417b5fb4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p> A olay\u0131 ile B olay\u0131n\u0131n kesi\u015fme olas\u0131l\u0131\u011f\u0131d\u0131r. <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\">Olaylar\u0131n kesi\u015fme olas\u0131l\u0131\u011f\u0131<\/a><\/div>\n<p> Ancak iki olay uyumsuzsa iki olay\u0131n kesi\u015fimi s\u0131f\u0131rd\u0131r. Bu nedenle birbiriyle ba\u011fda\u015fmayan iki olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131, her bir olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131n eklenmesiyle hesaplan\u0131r. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e37b28e2af91ca519dd29b995f09b255_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A y B son incompatibles} \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ P(A\\cap B)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"434\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6b9b611e8eecce66db00b6a62c94c7a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)=P(A)+P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"202\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/uyumsuz-olaylar\/\">Uyumsuz Olaylar<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-resueltos-de-la-probabilidad-de-la-union-de-sucesos\"><\/span> Olaylar\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131na ili\u015fkin \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rnekler<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130ki olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rebilmeniz i\u00e7in a\u015fa\u011f\u0131da ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f iki \u00f6rnek b\u0131rak\u0131yoruz. Hesaplama biraz farkl\u0131 oldu\u011fundan, \u00f6nce iki uyumsuz olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131, ard\u0131ndan iki uyumlu olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 bulaca\u011f\u0131z. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-de-la-union-de-dos-sucesos-incompatibles\"><\/span> Birbiriyle ba\u011fda\u015fmayan iki olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li> Bir kutuya 10 mavi top, 6 turuncu top ve 4 ye\u015fil top koyuyoruz. Mavi veya turuncu bir top \u00e7ekme olas\u0131l\u0131\u011f\u0131 nedir?<\/li>\n<\/ul>\n<p> Al\u0131\u015ft\u0131rma bizden \u015fu veya bu olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 belirlememizi ister. Bu nedenle sorunu \u00e7\u00f6zmek i\u00e7in iki olay\u0131n birle\u015fimi form\u00fcl\u00fcn\u00fc kullanmal\u0131y\u0131z:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be7c6347c0f331eeb6540ac9e15081dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)=P(A)+P(B)-P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"299\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Bu nedenle, \u00f6ncelikle <a href=\"https:\/\/statorials.org\/tr\/laplace-kurali-veya-laplace-yasasi\/\">Laplace kural form\u00fcl\u00fcn\u00fc<\/a> kullanarak her bir olay\u0131n ayr\u0131 ayr\u0131 meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 hesapl\u0131yoruz:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9b1a5b8249e01fe618b08ea0079e1146_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{bola azul})=\\cfrac{10}{10+6+4}=0,5\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"251\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a6220946609d47abd9f3fe7cd85d4b14_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{bola naranja})=\\cfrac{6}{10+6+4}=0,3\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"279\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> Ancak bu durumda olaylar\u0131n her ikisi de birbiriyle ba\u011fda\u015fmayan iki olay oldu\u011fundan ayn\u0131 anda ger\u00e7ekle\u015femez. Yani e\u011fer mavi bir top \u00e7ekersek art\u0131k turuncu bir top \u00e7ekemeyiz ve bunun tersi de ge\u00e7erlidir.<\/p>\n<p> Bu nedenle, her iki olay\u0131n ortak olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131rd\u0131r ve dolay\u0131s\u0131yla form\u00fcl basitle\u015ftirilmi\u015ftir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e00a6d1c1398bf9e15fd02b1d93a0354_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)=P(A)+P(B)-\\cancelto{0}{P(A\\cap B)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"308\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Yani mavi bir top veya turuncu bir top yakalama olas\u0131l\u0131\u011f\u0131n\u0131n hesaplanmas\u0131 \u015fu \u015fekildedir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1776904c975b28dbbd57e37f714182ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P(\\text{bola azul}\\cup \\text{bola naranja})&amp;=P(\\text{bola azul})+P(\\text{bola azul})\\\\[2ex]&amp;=0,5+0,3\\\\[2ex]&amp;=0,8\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"456\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> K\u0131sacas\u0131 mavi veya turuncu bir topun kutudan \u00e7\u0131kma olas\u0131l\u0131\u011f\u0131 %80&#8217;dir. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-de-la-union-de-dos-sucesos-compatibles\"><\/span> \u0130ki uyumlu olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li> Bir paray\u0131 iki kez atarsak en az bir at\u0131\u015fta tura gelme olas\u0131l\u0131\u011f\u0131 nedir?<\/li>\n<\/ul>\n<p> Bu durumda, ilk at\u0131\u015fta &#8220;tura&#8221; ve ikinci at\u0131\u015fta &#8220;yaz\u0131&#8221; alabilece\u011fimiz i\u00e7in olaylar uyumludur. Bu nedenle olaylar\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 hesaplama form\u00fcl\u00fc basitle\u015ftirilmemi\u015ftir ve a\u015fa\u011f\u0131daki gibidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be7c6347c0f331eeb6540ac9e15081dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)=P(A)+P(B)-P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"299\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Bu nedenle, \u00f6ncelikle Laplace kural\u0131n\u0131 uygulayarak yaz\u0131 tura at\u0131ld\u0131\u011f\u0131nda &#8220;tura&#8221; gelme olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamam\u0131z gerekir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-24700638f62e83613a39f2b566e2fb9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{cara})=\\cfrac{1}{2}=0,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"143\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u015eimdi <a href=\"https:\/\/statorials.org\/tr\/carpma-kurali\/\">\u00e7arp\u0131m kural\u0131 form\u00fcl\u00fcn\u00fc<\/a> kullanarak iki olay\u0131n kesi\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 hesaplayal\u0131m:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c1382d107f7e0e3e2f936db296f550df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{cara}\\cap \\text{cara})=\\cfrac{1}{2}\\cdot \\cfrac{1}{2}=0,5\\cdot 0,5=0,25\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"316\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Son olarak, iki at\u0131\u015ftan en az birinde tura gelme olas\u0131l\u0131\u011f\u0131n\u0131 bulmak i\u00e7in de\u011ferleri form\u00fclde yerine koyup hesaplamay\u0131 yapman\u0131z yeterlidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bbdfc38f607783282ef9cd0578dfba06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P(\\text{cara}\\cup \\text{cara})&amp;=P(\\text{cara})+P(\\text{cara})-P(\\text{cara}\\cap \\text{cara})\\\\[2ex]&amp;=0,5+0,5-0,25\\\\[2ex]&amp;=0,75\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"411\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Sonu\u00e7 olarak, bir paray\u0131 iki kez att\u0131\u011f\u0131n\u0131zda en az bir kez tura gelme olas\u0131l\u0131\u011f\u0131 %75&#8217;tir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-union-de-sucesos\"><\/span> Olay birle\u015fimlerinin \u00f6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Olas\u0131l\u0131k teorisinde olaylar\u0131n birli\u011finin i\u015fleyi\u015fi a\u015fa\u011f\u0131daki \u00f6zellikleri kar\u015f\u0131lar:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong>De\u011fi\u015fme \u00f6zelli\u011fi:<\/strong> Birle\u015fimdeki olaylar\u0131n s\u0131ras\u0131, i\u015flemin sonucunu de\u011fi\u015ftirmez.<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9902cfce1cbc93d9a6a1ec886b024e56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cup B=B\\cup A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"118\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0130li\u015fkisel \u00f6zellik:<\/strong> Sonu\u00e7 ayn\u0131 oldu\u011fundan \u00fc\u00e7 olay\u0131n birle\u015fimi herhangi bir s\u0131rayla hesaplanabilir.<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ee83128771a53d7707db452775e813fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(A\\cup B)\\cup C=A\\cup (B\\cup C)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"211\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong>Da\u011f\u0131t\u0131c\u0131 \u00f6zellik:<\/strong> Olaylar\u0131n birle\u015fimi, olaylar\u0131n kesi\u015fmesiyle da\u011f\u0131t\u0131c\u0131 \u00f6zelli\u011fi ger\u00e7ekle\u015ftirir.<\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-34438b7988bfbf972fba4814e374bcef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cup (B\\cap C)=(A\\cup B)\\cap (A\\cup C)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"259\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/etkinliklerle-yapilan-islemler\/\">Olaylarla yap\u0131lan i\u015flemler<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu yaz\u0131m\u0131zda olaylar\u0131n birle\u015fim olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz. B\u00f6ylece olaylar\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131 form\u00fcl\u00fcn\u00fcn ne oldu\u011funu ve ayr\u0131ca ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclen al\u0131\u015ft\u0131rmalar\u0131 \u00f6\u011freneceksiniz. Olaylar\u0131n birli\u011fi nedir? Olas\u0131l\u0131k teorisinde olaylar\u0131n birle\u015fimi , sonucu i\u015flem k\u00fcmesindeki t\u00fcm temel olaylardan olu\u015fan bir olay i\u015flemidir. Ba\u015fka bir deyi\u015fle, A ve B gibi iki olay\u0131n birle\u015fimi, A&#8217;da, B&#8217;de veya her ikisinde [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-394","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u0130ki olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131<\/title>\n<meta name=\"description\" content=\"Burada iki olay\u0131n birle\u015fiminin ne oldu\u011funu, olaylar\u0131n birle\u015fmesi olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 (form\u00fcl) ve \u00e7\u00f6z\u00fcml\u00fc \u00f6rnekleri bulacaks\u0131n\u0131z.\" \/>\n<meta name=\"robots\" content=\"index, follow, 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