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kombinasyonu (21) olduğundan olasılık 6/21 = 2/7 olarak bulunuyor."]},"beginTime":735,"endTime":809,"href":"/video/preview/249012596761123515?parent-reqid=1773651131628720-15454026941672632165-balancer-l7leveler-kubr-yp-vla-206-BAL&text=MathHints&t=735&ask_summarization=1"},{"index":5,"title":"Kümeler ve Olasılık","list":{"type":"unordered","items":["A kümesinin eleman sayısı 4 olduğundan, A×A kümesinin eleman sayısı 16'dır.","A×A kümesindeki sıralı ikililerin bileşenlerinin birbirinden farklı olma olasılığı hesaplanıyor.","Tüm durumdan aynı olma durumlarını (4 durum) çıkararak 12 farklı durum bulunuyor, olasılık 12/16 = 3/4 olarak hesaplanıyor."]},"beginTime":809,"endTime":864,"href":"/video/preview/249012596761123515?parent-reqid=1773651131628720-15454026941672632165-balancer-l7leveler-kubr-yp-vla-206-BAL&text=MathHints&t=809&ask_summarization=1"},{"index":6,"title":"Top Olasılığı Sorusu","list":{"type":"unordered","items":["Kutuda üç mavi, dört beyaz ve iki sarı top bulunduğu 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açıklanmakta ve olasılık hesaplamaları için önemli kurallar anlatılmaktadır. İçerik, zar atma, para atma, bilye çekme, top çekme ve yarışma gibi çeşitli olasılık problemlerinin adım adım çözümlerini kapsamaktadır.","Her soru için çözüm yöntemi detaylı olarak anlatılmakta ve sonuçlar açıklanmaktadır. Video, olasılık konusunu pekiştirmek isteyen öğrenciler için faydalı bir kaynak niteliğindedir."]},"endTime":1091,"title":"Olasılık Konusu Orta Düzey Soru Çözümleri","beginTime":0}],"fullResult":[{"index":0,"title":"Kesin Olay Kavramı","list":{"type":"unordered","items":["Kesin olay, örnek uzayının alt olayı olup olasılığı 1'e eşit olan olaydır.","Olasılık, istenilen durumun tüm duruma oranıdır; tüm durum örnek uzay, istenilen durum ise örnek uzayın bir alt kümesidir.","Zar atıldığında üst yüzüne dört gelmesi kesin olay değildir çünkü olasılığı 1/6'dır, ancak mavi top dolu torbadan rastgele çekilen topun mavi olması kesin olaydır."]},"beginTime":11,"endTime":158,"href":"/video/preview/9800037244385818361?parent-reqid=1773651131628720-15454026941672632165-balancer-l7leveler-kubr-yp-vla-206-BAL&text=MathHints&t=11&ask_summarization=1"},{"index":1,"title":"İmkansız Olay Kavramı","list":{"type":"unordered","items":["İmkansız olay, örnek uzayının alt olayı olup boş küme olan olaydır ve olasılığı 0'dır.","Para atıldığında yazı gelmesi imkansız olay değildir çünkü olasılığı 1/2'dir.","Çift zar atıldığında üst yüze gelen sayıların çarpımının 15 olması imkansız olay değildir çünkü olasılığı 1/18'dir, ancak çift rakamların yazılı olduğu kağıtların bulunduğu torbadan rastgele alınan iki kağıttaki sayıların toplamının tek olması imkansız olaydır."]},"beginTime":158,"endTime":275,"href":"/video/preview/9800037244385818361?parent-reqid=1773651131628720-15454026941672632165-balancer-l7leveler-kubr-yp-vla-206-BAL&text=MathHints&t=158&ask_summarization=1"},{"index":2,"title":"Olasılık Kuralları","list":{"type":"unordered","items":["İki olayın birleşim olasılığı, her iki olayın olasılıklarının toplamından ortak olayların olasılığı çıkarılarak hesaplanır.","İki zar atıldığında üst üste gelen sayıların toplamının 5'in katı veya 8'den büyük olma olasılığı, 7/36+10/36-3/36=7/18 olarak hesaplanır.","İki olayın kesişim olasılığı sıfır ise, olaylar ayrık olaydır; kesişim olasılığı 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olasılığı 3/4 olduğunda, aynı hedefi vuramama olasılığı 1 - 3/4 = 1/4 veya %25'tir."]},"beginTime":739,"endTime":911,"href":"/video/preview/9800037244385818361?parent-reqid=1773651131628720-15454026941672632165-balancer-l7leveler-kubr-yp-vla-206-BAL&text=MathHints&t=739&ask_summarization=1"},{"index":6,"title":"Zar Atma Problemleri","list":{"type":"unordered","items":["Bir çift zar aynı anda atıldığında, zarların üst üste gelen sayılarının toplamının yedi olma olasılığı 6/36 = 1/6'dır.","Bir çift zar aynı anda havaya atıldığında, zarların üst yüzüne gelen sayıların toplamının en çok dört olma olasılığı 6/36 = 1/6'dır.","Bir çift zar aynı anda atıldığında, zarların üst yüzüne gelen sayıların çarpımının tek sayı olma olasılığı 9/36 = 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Dereceden 1 Bilinmeyenli Denklemler Soru Çözümü | 10. Sınıf Matematik Denklemler Çözümlü Test 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