// Numbas version: finer_feedback_settings
{"name": "Ejercicio 1 NM3 - Repaso General 2020", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Ejercicio 1 NM3 - Repaso General 2020", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>3)&nbsp;&nbsp;En una urna hay 6 bolitas blancas y 3 azules &nbsp;&iquest;Cu&aacute;l es la probabilidad de sacar al azar ambas blancas sin reposici&oacute;n?</p>\n<p>&nbsp; &nbsp; &nbsp;A)&nbsp; $\\Large \\frac{1}{2}$</p>\n<p>&nbsp; &nbsp; &nbsp;B)&nbsp;&nbsp;$\\Large \\frac{5}{8}$</p>\n<p>&nbsp; &nbsp; &nbsp;C)&nbsp;&nbsp;$\\Large \\frac{2}{3}$</p>\n<p>&nbsp; &nbsp; &nbsp;D)&nbsp;&nbsp;$\\Large \\frac{5}{12}$</p>", "advice": "", "rulesets": {}, "extensions": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Desarrollo", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Para determinar la probabilidad de sacar dos bolitas blancas <strong>sin reposici&oacute;n,&nbsp;</strong>debemos seguir los siguientes pasos.</p>\n<table style=\"width: 883px;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 583px; text-align: center;\">\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;[[0]]</p>\n<p>$P(1&deg;$ bolita blanca$)=$&nbsp; ______&nbsp;</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;[[1]]</p>\n</td>\n<td style=\"width: 287px; text-align: left;\"><strong>Paso 1:&nbsp;</strong>Calcular la probabilidad de que la primera bolita sea blanca.</td>\n</tr>\n<tr>\n<td style=\"width: 583px; text-align: center;\">\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;[[2]]</p>\n<p>$P(2&deg;$ bolita blanca$)=$&nbsp; ______&nbsp;</p>\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;[[3]]</p>\n</td>\n<td style=\"width: 287px;\">\n<p style=\"text-align: left;\"><strong>Paso 2:&nbsp;</strong>Calcular la probabilidad de que la primera bolita sea blanca. Recuerda que se debe eliminar una bolita blanca&nbsp;<strong>(ya que no se repone la bolita al ser sacada)</strong> y del total de bolitas tambi&eacute;n se elimina una.</p>\n<p></p>\n</td>\n</tr>\n<tr>\n<td style=\"width: 583px;\">\n<p></p>\n<p style=\"text-align: center;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;[[0]]&nbsp;&nbsp;[[2]]</p>\n<p style=\"text-align: center;\">$P(2 $ blancas sin reponer$)= $ ______ $\\cdot$ ______&nbsp; $=$</p>\n<p style=\"text-align: center;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;[[1]]&nbsp;&nbsp;[[3]]</p>\n<p style=\"text-align: center;\">&nbsp; &nbsp; &nbsp; &nbsp;[[4]]</p>\n<p style=\"text-align: center;\">$=$ ______</p>\n<p style=\"text-align: center;\">&nbsp; &nbsp; &nbsp; &nbsp;[[5]]</p>\n</td>\n<td style=\"width: 287px;\"><strong>Paso 3:&nbsp;</strong>Como ambos sucesos ocurren uno despu&eacute;s del otro, debemos multiplicar las probabilidades del <strong>paso 1 y 2</strong>.</td>\n</tr>\n<tr>\n<td style=\"width: 583px;\">\n<p style=\"text-align: center;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;[[6]]</p>\n<p style=\"text-align: center;\">$P(2$ blancas sin reponer$)=$ ______</p>\n<p style=\"text-align: center;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;[[7]]</p>\n</td>\n<td style=\"width: 287px;\"><strong>Paso 4:&nbsp;</strong>Se simplifica el valor obtenido en el paso 3.</td>\n</tr>\n</tbody>\n</table>\n<p>Por tanto, la respuesta correcta es:&nbsp;[[8]]</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "6", "maxValue": "6", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, 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