Quiz interactif généré par IA à partir du document : Probabilité-4-sc.pdf
Question 1 sur 10 20:00
[{"id":29260,"question":"Quelle est la probabilité d'obtenir un nombre pair en lançant un dé à 6 faces ?","option_a":"1\/6","option_b":"1\/2","option_c":"1\/3","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"b","explication":"Il y a 3 nombres pairs (2, 4, 6) sur 6 faces possibles. La probabilité est donc 3\/6 = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"1\/6\", \"b\": \"1\/2\", \"c\": \"1\/3\", \"d\": \"2\/3\"}}","_debug_options_count":4},{"id":29261,"question":"Dans une urne contenant 5 boules rouges et 3 boules bleues, quelle est la probabilité de tirer une boule bleue ?","option_a":"3\/8","option_b":"5\/8","option_c":"3\/5","option_d":"5\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Il y a 3 boules bleues sur un total de 8 boules. La probabilité est donc 3\/8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"3\/8\", \"b\": \"5\/8\", \"c\": \"3\/5\", \"d\": \"5\/3\"}}","_debug_options_count":4},{"id":29262,"question":"Vrai ou Faux ? La probabilité d'un événement impossible est égale à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La probabilité d'un événement impossible est égale à 0, tandis que celle d'un événement certain est égale à 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":29263,"question":"Quelle est la probabilité d'obtenir deux fois pile en lançant deux fois une pièce de monnaie ?","option_a":"1\/4","option_b":"1\/2","option_c":"1\/3","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Il y a 4 résultats possibles (PP, PF, FP, FF). Seul PP est favorable. La probabilité est donc 1\/4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"1\/4\", \"b\": \"1\/2\", \"c\": \"1\/3\", \"d\": \"2\/3\"}}","_debug_options_count":4},{"id":29264,"question":"Vrai ou Faux ? La loi des grands nombres stipule que plus on répète une expérience, plus la fréquence observée se rapproche de la probabilité théorique.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est exactement l'énoncé de la loi des grands nombres.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":29265,"question":"Dans une classe de 30 élèves, 12 sont des filles. Quelle est la probabilité de choisir une fille au hasard ?","option_a":"2\/5","option_b":"3\/5","option_c":"12\/30","option_d":"1\/2","option_e":"","option_f":"","bonne_reponse":"c","explication":"Il y a 12 filles sur 30 élèves. La probabilité est donc 12\/30 = 2\/5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"2\/5\", \"b\": \"3\/5\", \"c\": \"12\/30\", \"d\": \"1\/2\"}}","_debug_options_count":4},{"id":29266,"question":"Quelle est la probabilité de tirer un as dans un jeu de 52 cartes ?","option_a":"1\/13","option_b":"1\/4","option_c":"4\/52","option_d":"1\/52","option_e":"","option_f":"","bonne_reponse":"a","explication":"Il y a 4 as dans un jeu de 52 cartes. La probabilité est donc 4\/52 = 1\/13.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"1\/13\", \"b\": \"1\/4\", \"c\": \"4\/52\", \"d\": \"1\/52\"}}","_debug_options_count":4},{"id":29267,"question":"Vrai ou Faux ? La probabilité d'un événement et celle de son complémentaire s'additionnent toujours à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Oui, car P(A) + P(non A) = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":29268,"question":"Dans une boîte contenant 4 boules vertes, 5 boules jaunes et 6 boules rouges, quelle est la probabilité de tirer une boule jaune ou rouge ?","option_a":"11\/15","option_b":"5\/15","option_c":"6\/15","option_d":"10\/15","option_e":"","option_f":"","bonne_reponse":"a","explication":"Il y a 5 boules jaunes et 6 boules rouges, soit 11 boules favorables sur 15 au total. La probabilité est donc 11\/15.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"11\/15\", \"b\": \"5\/15\", \"c\": \"6\/15\", \"d\": \"10\/15\"}}","_debug_options_count":4},{"id":29269,"question":"Quelle est la probabilité de ne pas obtenir un 6 en lançant un dé à 6 faces ?","option_a":"1\/6","option_b":"5\/6","option_c":"1\/2","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"b","explication":"La probabilité d'obtenir un 6 est 1\/6. Donc, la probabilité de ne pas l'obtenir est 1 - 1\/6 = 5\/6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"1\/6\", \"b\": \"5\/6\", \"c\": \"1\/2\", \"d\": \"2\/3\"}}","_debug_options_count":4}]
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