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[{"id":431441,"quiz_id":"21714","answer_id":null,"answerType_id":"0","created_at":"2018-04-11 13:03:56","updated_at":"2018-04-11 13:03:56","questionName":"Bir torbada ayn\u0131 b\u00fcy\u00fckl\u00fckte 1\u2019den 12\u2019ye kadar numaraland\u0131r\u0131lm\u0131\u015f 12 top bulunmaktad\u0131r. Bu torbadan geri konulmak \u015fart\u0131yla rastgele iki top \u00e7ekiliyor. 1. topun \u00e7ift say\u0131, 2. topun ise tek say\u0131 olma olas\u0131l\u0131\u011f\u0131 nedir?","questionTimeSeconds":"30","questionTimeMinutes":"1","questionImagePath":null,"position":null,"explanation":"\u00d6rnek uzay 12 elemanl\u0131d\u0131r. \u00c7ift say\u0131 gelme durumu A={ 2, 4, 6, 8, 10,12 } ve s(A)=6 Tek say\u0131 gelme durumu { 1, 3, 5, 7, 9, 11 } ve s(B) = 6 Dolay\u0131s\u0131yla 1. topun \u00e7ift say\u0131, 2. topun ise tek say\u0131 olma olas\u0131l\u0131\u011f\u0131; 6\/12.6\/12 = 1\/4","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431472,"quiz_id":"21714","answer_id":null,"answerType_id":"1","created_at":"2018-04-11 13:33:47","updated_at":"2018-04-11 13:33:47","questionName":"Bir kavanozda 3 k\u0131rm\u0131z\u0131, 6 ye\u015fil, 6 sar\u0131 bilye vard\u0131r. Bu kavanozdan \u00e7ekilen bilyeler kavanoza geri koyulmamak \u015fart\u0131yla iki bilye \u00e7ekiliyor. \u00c7ekilen bilyelerin ikisininde k\u0131rm\u0131z\u0131 olma olas\u0131l\u0131\u011f\u0131 nedir? ","questionTimeSeconds":"0","questionTimeMinutes":"2","questionImagePath":null,"position":null,"explanation":"Toplar geri konulmad\u0131\u011f\u0131 i\u00e7in 2. \u00e7ekili\u015fte top k\u0131rm\u0131z\u0131 top say\u0131s\u0131 ve \u00f6rnek uzay say\u0131s\u0131 1 azalt\u0131l\u0131r. Bu durumda; 3\/15.2\/14 = 1\/35","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431451,"quiz_id":"21714","answer_id":null,"answerType_id":"0","created_at":"2018-04-11 13:10:33","updated_at":"2018-04-11 13:10:33","questionName":"Bir otob\u00fcste 10 T\u00fcrk, 15 Frans\u0131z ve 5 \u0130talyan yolcu vard\u0131r. Bu otob\u00fcsten inen ilk iki ki\u015finin de T\u00fcrk olmas\u0131 ihtimali nedir? ","questionTimeSeconds":"0","questionTimeMinutes":"2","questionImagePath":null,"position":null,"explanation":"Otob\u00fcste 10 + 15 + 5 = 30 yolcu bulunmaktad\u0131r ve dikkat etmeniz gereken k\u0131s\u0131m ilk yolcu indi\u011finde otob\u00fcste 30 - 1 = 29 ki\u015fi kalaca\u011f\u0131d\u0131r. Ayn\u0131 \u015fekilde 10 T\u00fcrk yolcudan biri inmi\u015f olaca\u011f\u0131 i\u00e7in 9 T\u00fcrk yolcu kalm\u0131\u015f olacakt\u0131r.","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431444,"quiz_id":"21714","answer_id":null,"answerType_id":"0","created_at":"2018-04-11 13:06:11","updated_at":"2018-04-11 13:06:11","questionName":"2 siyah, 3 ye\u015fil topun bulundu\u011fu bir torbadan, geriye at\u0131lmamak \u015fart\u0131yla 2 top \u00e7ekiliyor. \u00c7ekilen toplar\u0131n s\u0131rayla siyah ve ye\u015fil gelme olas\u0131l\u0131\u011f\u0131 nedir?","questionTimeSeconds":"0","questionTimeMinutes":"2","questionImagePath":null,"position":null,"explanation":"Dikkat etmeniz gereken nokta 1.topu \u00e7ektikten sonra geri at\u0131lmamas\u0131d\u0131r. Torbada toplam 5 top vard\u0131r ve 1.topu \u00e7ektikten sonra top tekrar torbaya at\u0131lmad\u0131\u011f\u0131 i\u00e7in 2.topu \u00e7ekti\u011fimizde \u00f6rnek uzay\u0131n eleman say\u0131s\u0131 4 olacakt\u0131r. 2\/5.3\/4 = 3\/10","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431470,"quiz_id":"21714","answer_id":null,"answerType_id":"1","created_at":"2018-04-11 13:30:57","updated_at":"2018-04-11 13:30:57","questionName":"Bir zar ve bir madeni paran\u0131n at\u0131lmas\u0131 deneyinin ka\u00e7 farkl\u0131 sonucu olabilir?","questionTimeSeconds":"0","questionTimeMinutes":"2","questionImagePath":null,"position":null,"explanation":"Zar i\u00e7in 6, madeni para i\u00e7in 2 durum s\u00f6z konusudur. \u0130kisi i\u00e7in ise 6 . 2 = 12 durum s\u00f6z konusudur. ","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431455,"quiz_id":"21714","answer_id":null,"answerType_id":"1","created_at":"2018-04-11 13:14:44","updated_at":"2018-04-11 13:17:13","questionName":"Hilesiz bir zar at\u0131ld\u0131\u011f\u0131nda \u00fcst y\u00fcze gelen say\u0131n\u0131n pozitif olmama olas\u0131l\u0131\u011f\u0131 nedir?","questionTimeSeconds":"15","questionTimeMinutes":"0","questionImagePath":null,"position":null,"explanation":":D","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":427570,"quiz_id":"21714","answer_id":null,"answerType_id":"0","created_at":"2018-04-09 14:51:57","updated_at":"2018-04-09 14:51:57","questionName":"9 kad\u0131n ve 13 erke\u011fin bulundu\u011fu bir s\u0131n\u0131f\u0131n matematik \u00f6\u011fretmeni olan Aysun ders i\u015flerken s\u0131n\u0131fa birisi girer. Giren ki\u015fi m\u00fcfetti\u015ftir. Hemen Aysun \u00d6\u011fretmenden \u00f6\u011frencilerine bir soru sormas\u0131n\u0131 ister. Soru \u015fudur: Sizin s\u0131n\u0131f\u0131n\u0131zdan rastgele farkl\u0131 iki ki\u015fi se\u00e7ti\u011fimizi varsayarsak bu se\u00e7ilen ki\u015filerin ikisinin de cinsiyetinin kad\u0131n olma olas\u0131\u011f\u0131 nedir? T\u00fcm \u00f6\u011frenciler soruyu yanl\u0131\u015f cevaplar. Peki cevap nedir? :)","questionTimeSeconds":"0","questionTimeMinutes":"5","questionImagePath":"uploads\/olasilik-8-c-taylan-aslan\/indir (4).jpg","position":null,"explanation":"Aysun \u00d6\u011fretmen de bir bayan! ","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431490,"quiz_id":"21714","answer_id":null,"answerType_id":"2","created_at":"2018-04-11 13:55:25","updated_at":"2018-04-11 13:55:25","questionName":"Sorular\u0131 do\u011fru cevaplar ile e\u015fle\u015ftiriniz.","questionTimeSeconds":"0","questionTimeMinutes":"1","questionImagePath":null,"position":null,"explanation":"","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431481,"quiz_id":"21714","answer_id":null,"answerType_id":"1","created_at":"2018-04-11 13:47:31","updated_at":"2018-04-11 13:47:31","questionName":"Bir zar arka arkaya iki defa at\u0131l\u0131yor. Her iki at\u0131\u015fta da 5 gelme olas\u0131l\u0131\u011f\u0131 nedir?","questionTimeSeconds":"30","questionTimeMinutes":"0","questionImagePath":null,"position":null,"explanation":"Zar \u00fczerinde 5 say\u0131s\u0131 1 tane vard\u0131r. Dolay\u0131s\u0131yla; 1\/6.1\/6 = 1\/36","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431483,"quiz_id":"21714","answer_id":null,"answerType_id":"1","created_at":"2018-04-11 13:49:20","updated_at":"2018-04-11 13:49:20","questionName":"50 kuru\u015fluk madeni paran\u0131n yaz\u0131, 10 kuru\u015fluk madeni paran\u0131n tura, zar\u0131n 3 gelmesi olas\u0131l\u0131\u011f\u0131 nedir?","questionTimeSeconds":"0","questionTimeMinutes":"1","questionImagePath":null,"position":null,"explanation":"Paralar\u0131n tura veya yaz\u0131 gelme olas\u0131l\u0131klar\u0131 ayn\u0131 ve 1\/2 dir. zar\u0131n 3 gelmesi olas\u0131l\u0131\u011f\u0131 ise 1\/6 d\u0131r. Bu durumda olas\u0131l\u0131k de\u011ferimiz; 1\/2.1\/2.1\/6 = 1\/24","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431445,"quiz_id":"21714","answer_id":null,"answerType_id":"0","created_at":"2018-04-11 13:07:15","updated_at":"2018-04-11 13:07:15","questionName":"Bir s\u0131n\u0131fta bulunan Ahmet, Filiz, Cem, Berkan, Furkan, Selma, H\u00fcseyin, Feride, Kemal isimli \u00f6\u011frenciler aras\u0131ndan se\u00e7ilen bir ki\u015finin isminin ba\u015f harfinin F olma olas\u0131l\u0131\u011f\u0131 ka\u00e7t\u0131r?","questionTimeSeconds":"0","questionTimeMinutes":"1","questionImagePath":null,"position":null,"explanation":"\u00d6rnek uzay eleman say\u0131s\u0131 9, \u0130sminin ba\u015f harfi F olan ki\u015fi say\u0131s\u0131 3, Bu durumda istenilen olas\u0131l\u0131k de\u011feri; 3\/9 = 1\/3","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431449,"quiz_id":"21714","answer_id":null,"answerType_id":"0","created_at":"2018-04-11 13:09:19","updated_at":"2018-04-11 13:09:19","questionName":"Bir kavanozda 4 k\u0131rm\u0131z\u0131, 5 ye\u015fil, 6 beyaz bilye vard\u0131r. Bu kavanozdan \u00e7ekilen bilyeler kavanoza geri koyulmak \u015fart\u0131yla iki bilye \u00e7ekiliyor. \u00c7ekilen bilyelerin ikisininde ye\u015fil olma olas\u0131l\u0131\u011f\u0131 nedir? ","questionTimeSeconds":"30","questionTimeMinutes":"1","questionImagePath":null,"position":null,"explanation":"\u00c7ekilen bilye tekrar kavanoza koyuldu\u011fu i\u00e7in 2. \u00e7ekili\u015fi yaparken top say\u0131m\u0131z\u0131 azaltm\u0131yoruz. 5\/15.5\/15 = 1\/9","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431467,"quiz_id":"21714","answer_id":null,"answerType_id":"2","created_at":"2018-04-11 13:26:53","updated_at":"2018-04-11 13:26:53","questionName":"Sorular\u0131 do\u011fru cevaplar ile e\u015fle\u015ftiriniz.","questionTimeSeconds":"0","questionTimeMinutes":"2","questionImagePath":null,"position":null,"explanation":";)","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431485,"quiz_id":"21714","answer_id":null,"answerType_id":"2","created_at":"2018-04-11 13:52:12","updated_at":"2018-04-11 13:52:12","questionName":"Sorular\u0131 do\u011fru cevaplar ile e\u015fle\u015ftiriniz.","questionTimeSeconds":"0","questionTimeMinutes":"1","questionImagePath":null,"position":null,"explanation":"","question_score_id":null,"lang":null,"questionAudioPath":null},{"id":431492,"quiz_id":"21714","answer_id":null,"answerType_id":"2","created_at":"2018-04-11 13:57:51","updated_at":"2018-04-11 13:57:51","questionName":"Sorular\u0131 do\u011fru cevaplar ile e\u015fle\u015ftiriniz.","questionTimeSeconds":"20","questionTimeMinutes":"3","questionImagePath":null,"position":null,"explanation":"","question_score_id":null,"lang":null,"questionAudioPath":null}]