{"id":4079,"date":"2025-03-19T05:05:58","date_gmt":"2025-03-19T05:05:58","guid":{"rendered":"https:\/\/lash.utrng.edu.mx\/?p=4079"},"modified":"2025-03-19T05:09:01","modified_gmt":"2025-03-19T05:09:01","slug":"2-1-probabilidad-basica-y-condicional","status":"publish","type":"post","link":"https:\/\/lash.utrng.edu.mx\/?p=4079","title":{"rendered":"2.1 Probabilidad b\u00e1sica y condicional"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-vivid-cyan-blue-color has-text-color has-link-color wp-elements-b9a557eedda2a53bf45cdb4e80476367\">T\u00e9cnicas de conteo<\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-vivid-cyan-blue-color has-text-color has-link-color wp-elements-02fdbba40d325aa9bfc9da7afaaa5bfb\">1. Diagrama de \u00c1rbol<\/h3>\n\n\n\n<p>Es una representaci\u00f3n gr\u00e1fica que muestra todas las posibles combinaciones de un evento paso a paso. Se usa cuando hay pocas opciones y queremos visualizar el problema.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Ejemplo:<\/strong><\/h3>\n\n\n\n<p>Supongamos que tienes dos camisetas (roja y azul) y dos pantalones (jeans y negro). \u00bfCu\u00e1ntas combinaciones diferentes de ropa puedes usar?<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"351\" height=\"240\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-30.png\" alt=\"\" class=\"wp-image-4080\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-30.png 351w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-30-300x205.png 300w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-30-75x50.png 75w\" sizes=\"auto, (max-width: 351px) 100vw, 351px\" \/><\/figure><\/div>\n\n\n<!--more-->\n\n\n\n<p>Hay <strong>4 combinaciones posibles<\/strong>:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Roja &#8211; Jeans<\/li>\n\n\n\n<li>Roja &#8211; Negro<\/li>\n\n\n\n<li>Azul &#8211; Jeans<\/li>\n\n\n\n<li>Azul &#8211; Negro<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-vivid-cyan-blue-color has-text-color has-link-color wp-elements-6f87349df2b61104a1353b2423c76a60\">2. Regla Multiplicativa<\/h3>\n\n\n\n<p>Si un evento ocurre en <strong>m<\/strong> formas y otro evento ocurre en <strong>n<\/strong> formas, entonces el n\u00famero total de maneras en que ambos pueden ocurrir es <strong>m \u00d7 n<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Ejemplo:<\/strong><\/h3>\n\n\n\n<p class=\"has-text-align-left has-medium-font-size\">Si un restaurante ofrece <strong>3 entradas<\/strong> y 4 platos principales, el n\u00famero total de comidas posibles es: <\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\">3<strong>\u00d74=12<\/strong><\/p>\n\n\n\n<p>As\u00ed que hay <strong>12 combinaciones diferentes de comida<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-vivid-cyan-blue-color has-text-color has-link-color wp-elements-5c01fe8a94b84e4499019d3733c4aebd\">3. Combinaci\u00f3n<\/h3>\n\n\n\n<p>Se usa cuando el orden <strong>NO importa<\/strong>. Se calcula con la f\u00f3rmula:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"222\" height=\"82\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-31.png\" alt=\"\" class=\"wp-image-4081\" style=\"width:272px;height:auto\"\/><\/figure><\/div>\n\n\n<p>Donde:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>n es el n\u00famero total de elementos.<\/li>\n\n\n\n<li>r es el n\u00famero de elementos seleccionados.<\/li>\n\n\n\n<li>! significa \u00abfactorial\u00bb, es decir, el producto de los n\u00fameros enteros positivos hasta ese n\u00famero.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Ejemplo:<\/strong><\/h3>\n\n\n\n<p>En una rifa hay <strong>5 boletos<\/strong> numerados del 1 al 5, y se van a elegir <strong>2 ganadores<\/strong> sin importar el orden.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"372\" height=\"78\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-32.png\" alt=\"\" class=\"wp-image-4082\" style=\"width:448px;height:auto\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-32.png 372w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-32-300x63.png 300w\" sizes=\"auto, (max-width: 372px) 100vw, 372px\" \/><\/figure><\/div>\n\n\n<p>Hay <strong>10 formas diferentes de elegir los 2 ganadores<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-vivid-cyan-blue-color has-text-color has-link-color wp-elements-0e875aaffeacd1504cb96f97a99e0637\">4. Permutaci\u00f3n<\/h3>\n\n\n\n<p>Se usa cuando el orden <strong>S\u00cd importa<\/strong>. Se calcula con la f\u00f3rmula:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"85\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-33.png\" alt=\"\" class=\"wp-image-4083\" style=\"width:232px;height:auto\"\/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\"><strong>Ejemplo:<\/strong><\/h3>\n\n\n\n<p>Si en una carrera de <strong>8 corredores<\/strong>, queremos saber de cu\u00e1ntas formas se pueden asignar los <strong>primeros 3 lugares<\/strong>, calculamos:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"398\" height=\"69\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-34.png\" alt=\"\" class=\"wp-image-4084\" style=\"width:464px;height:auto\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-34.png 398w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-34-300x52.png 300w\" sizes=\"auto, (max-width: 398px) 100vw, 398px\" \/><\/figure><\/div>\n\n\n<p>Hay <strong>336 maneras<\/strong> de asignar los 3 primeros lugares.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-vivid-cyan-blue-color has-text-color has-link-color wp-elements-805ecfacbf2eab6f312c2fe189e9a60f\">Comparaci\u00f3n de t\u00e9cnicas.<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"928\" height=\"214\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-35.png\" alt=\"\" class=\"wp-image-4085\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-35.png 928w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-35-300x69.png 300w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-35-768x177.png 768w\" sizes=\"auto, (max-width: 928px) 100vw, 928px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-86758c357c539568111e30495ba64053\">Distribuciones Discretas de Probabilidad<\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-72ab45eed899fe2fec130e6c8d320de9\">Concepto de Variable Aleatoria Discreta<\/h3>\n\n\n\n<p>Una <strong>variable aleatoria discreta<\/strong> es aquella que solo puede tomar valores espec\u00edficos y contables (como n\u00fameros enteros). Se usa para modelar situaciones donde los resultados ocurren en conteos finitos o infinitos numerables.<\/p>\n\n\n\n<p>\ud83d\udd39 <strong>Ejemplo:<\/strong><br>El n\u00famero de veces que una moneda cae en cara al lanzarla 5 veces. Puede tomar valores: 0, 1, 2, 3, 4 o 5.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-faf3ec04ef70d19cfd25a7d62107bc4f\">Distribuciones de Probabilidad Discretas<\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-4dd247d84f1c9205515dca4621a0cfbb\">A) Distribuci\u00f3n Binomial<\/h3>\n\n\n\n<p>Se usa cuando hay una cantidad fija de ensayos n, donde cada uno tiene solo dos posibles resultados: \u00e9xito (p) o fracaso (1\u2212p).<\/p>\n\n\n\n<p>\ud83d\udd39 <strong>F\u00f3rmula:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"324\" height=\"73\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-36.png\" alt=\"\" class=\"wp-image-4086\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-36.png 324w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-36-300x68.png 300w\" sizes=\"auto, (max-width: 324px) 100vw, 324px\" \/><\/figure><\/div>\n\n\n<p>Donde:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>n = n\u00famero de ensayos.<\/li>\n\n\n\n<li>k = n\u00famero de \u00e9xitos deseados.<\/li>\n\n\n\n<li>p = probabilidad de \u00e9xito en cada ensayo.<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udd39 <strong>Ejemplo:<\/strong><br>Si lanzamos una moneda 4 veces y queremos saber la probabilidad de obtener exactamente 2 caras:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"532\" height=\"74\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-37.png\" alt=\"\" class=\"wp-image-4087\" style=\"width:564px;height:auto\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-37.png 532w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-37-300x42.png 300w\" sizes=\"auto, (max-width: 532px) 100vw, 532px\" \/><\/figure><\/div>\n\n\n<p>As\u00ed que hay <strong>37.5% de probabilidad<\/strong> de obtener exactamente 2 caras.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-b3217fd73865af3171639982e3ab0a51\">Distribuci\u00f3n Hipergeom\u00e9trica<\/h3>\n\n\n\n<p>Se usa cuando se seleccionan elementos sin reemplazo de un grupo finito, lo que significa que la probabilidad de \u00e9xito cambia en cada selecci\u00f3n.<\/p>\n\n\n\n<p>\ud83d\udd39 <strong>F\u00f3rmula:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"252\" height=\"90\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-38.png\" alt=\"\" class=\"wp-image-4088\" style=\"width:282px;height:auto\"\/><\/figure><\/div>\n\n\n<p>Donde:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>N = tama\u00f1o total de la poblaci\u00f3n.<\/li>\n\n\n\n<li>K = n\u00famero total de \u00e9xitos en la poblaci\u00f3n.<\/li>\n\n\n\n<li>n = n\u00famero de elementos seleccionados.<\/li>\n\n\n\n<li>k = \u00e9xitos deseados en la muestra.<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udd39 <strong>Ejemplo:<\/strong><br>En una caja hay 10 bolas: 4 rojas y 6 azules. Se extraen 3 bolas al azar sin reemplazo. \u00bfCu\u00e1l es la probabilidad de obtener exactamente 2 bolas rojas?<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"394\" height=\"82\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-39.png\" alt=\"\" class=\"wp-image-4089\" style=\"width:420px;height:auto\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-39.png 394w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-39-300x62.png 300w\" sizes=\"auto, (max-width: 394px) 100vw, 394px\" \/><\/figure><\/div>\n\n\n<p>Hay <strong>30% de probabilidad<\/strong> de extraer exactamente 2 bolas rojas.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-792f9531941c667341dfde5757c3535c\">Distribuci\u00f3n de Poisson<\/h3>\n\n\n\n<p>Se usa para contar el n\u00famero de eventos que ocurren en un intervalo de tiempo o espacio, donde los eventos son raros y ocurren con una tasa media \u03bb.<\/p>\n\n\n\n<p>\ud83d\udd39 <strong>F\u00f3rmula:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"215\" height=\"71\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-40.png\" alt=\"\" class=\"wp-image-4090\"\/><\/figure><\/div>\n\n\n<p>Donde:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u03bb = n\u00famero promedio de eventos en el intervalo.<\/li>\n\n\n\n<li>k = n\u00famero de eventos que queremos calcular.( es lo que se pregunta)<\/li>\n\n\n\n<li>e \u2248 2.718 (constante matem\u00e1tica).<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udd39 <strong>Ejemplo:<\/strong><br>Si en una tienda llegan en promedio <strong>5 clientes por hora<\/strong>, \u00bfcu\u00e1l es la probabilidad de que lleguen exactamente 3 clientes en una hora?<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"426\" height=\"73\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-41.png\" alt=\"\" class=\"wp-image-4091\" style=\"width:454px;height:auto\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-41.png 426w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-41-300x51.png 300w\" sizes=\"auto, (max-width: 426px) 100vw, 426px\" \/><\/figure><\/div>\n\n\n<p>Hay <strong>14.04% de probabilidad<\/strong> de que lleguen exactamente 3 clientes en una hora.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-0c7e1fb1d7fea86544335c7cf61a5a0c\">Comparaci\u00f3n de las Distribuciones<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"930\" height=\"232\" src=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-42.png\" alt=\"\" class=\"wp-image-4095\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-42.png 930w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-42-300x75.png 300w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2025\/03\/image-42-768x192.png 768w\" sizes=\"auto, (max-width: 930px) 100vw, 930px\" \/><\/figure><\/div>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed is-provider-luis-antonio-saucedo-hern-ndez wp-block-embed-luis-antonio-saucedo-hern-ndez\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"wp-embedded-content\" data-secret=\"VT1SST8con\"><a href=\"https:\/\/lash.utrng.edu.mx\/?p=1915\">Distribuci\u00f3n de Poiss\u00f3n<\/a><\/blockquote><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"\u00abDistribuci\u00f3n de Poiss\u00f3n\u00bb \u2014 Luis Antonio Saucedo Hern\u00e1ndez\" src=\"https:\/\/lash.utrng.edu.mx\/?p=1915&#038;embed=true#?secret=u8JTxNcIxY#?secret=VT1SST8con\" data-secret=\"VT1SST8con\" width=\"600\" height=\"338\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe>\n<\/div><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-26a5e2d6da12feb825a617bac0a88475\">Ejercicios<\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-447602e9b35bdc70cc252c7256f76017\">Ejercicio 1<\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-c987c4325b3cc5c4bf69b6742226ec98\">-sobre binomial-<\/h4>\n\n\n\n<p>\u00bfCu\u00e1l es la probabilidad de obtener cuatro veces el n\u00famero 3 al lanzar un dado ocho veces?=<strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">0.026<\/mark><\/strong>-><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">demostrarlo<\/mark><\/strong><\/p>\n\n\n\n<p><strong>k=4<\/strong>(n\u00famero de aciertos)<\/p>\n\n\n\n<p><strong>n=8<\/strong><\/p>\n\n\n\n<p><strong>p=1\/6=0.166<\/strong>(probabilidad de que salga un 3 al tirar el dado)<\/p>\n\n\n\n<p>La f\u00f3rmula queda:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><a href=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/02\/DistProbabilidad-02.png\"><img loading=\"lazy\" decoding=\"async\" width=\"309\" height=\"46\" src=\"http:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/02\/DistProbabilidad-02.png\" alt=\"\" class=\"wp-image-508\" srcset=\"https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/02\/DistProbabilidad-02.png 309w, https:\/\/lash.utrng.edu.mx\/wp-content\/uploads\/2018\/02\/DistProbabilidad-02-300x45.png 300w\" sizes=\"auto, (max-width: 309px) 100vw, 309px\" \/><\/a><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-c9e7c917a2a79508b683bc170bfc9e30\">Ejercicio 2<\/h3>\n\n\n\n<h4 class=\"wp-block-heading has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-fc341110c441cf74b09bdc5ded81b8a6\">-sobre poisson-<\/h4>\n\n\n\n<p>La probabilidad de que un ni\u00f1o nazca pelirrojo es de\u00a0<strong>0,012<\/strong>. \u00bfCu\u00e1l es la probabilidad de que entre\u00a0<strong>800<\/strong>\u00a0recien nacidos haya\u00a0<strong>5 pelirrojos<\/strong>=\u00a0<strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">4,602<\/mark><\/strong>-><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\">demostrarlo<\/mark><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>T\u00e9cnicas de conteo 1. Diagrama de \u00c1rbol Es una representaci\u00f3n gr\u00e1fica que muestra todas las posibles combinaciones de un evento paso a paso. Se usa cuando hay pocas opciones y queremos visualizar el problema. Ejemplo: Supongamos que tienes dos camisetas (roja y azul) y dos pantalones (jeans y negro). \u00bfCu\u00e1ntas combinaciones diferentes de ropa puedes &hellip; <a href=\"https:\/\/lash.utrng.edu.mx\/?p=4079\">Seguir leyendo <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[47],"tags":[],"class_list":["post-4079","post","type-post","status-publish","format-standard","hentry","category-segundoparcialprob-mecatro"],"_links":{"self":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/4079","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4079"}],"version-history":[{"count":3,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/4079\/revisions"}],"predecessor-version":[{"id":4096,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=\/wp\/v2\/posts\/4079\/revisions\/4096"}],"wp:attachment":[{"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4079"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4079"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lash.utrng.edu.mx\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4079"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}