Beren'in Uygulamaları ve Olasılık
MathematicsProbabilityOrtaLGS
Yayınlanma:
Soru
6. Beren'in telefonuna yüklediği 20 tane uygulama aşağıda verilmiştir.
(Görselde telefon ekranında 4 sütun 5 satır halinde A1, A2, A3, A4, A5, A6, B1, B2, B3, B4, C1, C2, C3, D1, D2, D3, D4, D5, D6, E1 etiketli uygulamalar görünmektedir.)
Beren, telefonundaki uygulamaların %25'ini kullanmadığı için silmiştir. Buna göre, Beren kalan uygulamalardan birine rastgele bastığında bu uygulamanın D ile başlama olasılığı en az kaçtır?
A) $\frac{2}{15}$
B) $\frac{1}{9}$
C) $\frac{1}{15}$
D) $\frac{1}{18}$
Soruda görsel içerik var: A smartphone display showing a grid of 20 app icons labeled: A1, A2, A3, A4, A5, A6, B1, B2, B3, B4, C1, C2, C3, D1, D2, D3, D4, D5, D6, E1. Some are in colored backgrounds (green, red, yellow, blue).
Animasyonlu Video Çözüm
İlk yarısı ücretsiz izlenebilir, tamamı uygulamada.
Adım Adım Yazılı Çözüm
1
Adım 1
Selam Beyza, Beren'in telefonundaki uygulamalarla ilgili bu olasılık sorusunu birlikte çözelim.
Beren'in Uygulamaları
2
Adım 2
Öncelikle toplam uygulama sayısına bakalım. Soruda yirmi tane uygulama olduğu belirtilmiş.
$$ \text{Toplam uygulama sayısı} = 20$$
3
Adım 3
Beren bu uygulamaların yüzde yirmi beşini kullanmadığı için silmiş. Yüzde yirmi beş, bir tamın dörtte biri demektir.
$$ 20 \times \frac{25}{100} = 20 \times \frac{1}{4} = 5$$
4
Adım 4
Yani Beren beş tane uygulamayı silmiş. Geriye kalan uygulama sayısını bulalım.
5
Adım 5
Şimdi uygulamaların isimlerine bakalım. A, B, C, D ve E ile başlayan farklı kategoriler var.
Uygulama Listesi
$$ \begin{aligned} &A1, A2, A3, A4, A5, A6 \ &B1, B2, B3, B4 \ &C1, C2, C3 \ &D1, D2, D3, D4, D5, D6 \ &E1 \text{ (Toplam 20)} \tag{Silinmeden önce} \text{}\\ \text{Şimdi silinenlere bakalım.} \text{}\\\ \text{D ile başlayanlar: } D1, D2, D3, D4, D5, D6 \text{ (6 adet)} \text{}\\ \text{Diğerleri: } 20 - 6 = 14 \text{ adet} \text{}\\ \text{}\\ \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} \text{}\\ \text{} \tag{} 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6
Adım 6
Soru bizden, uygulamaların yüzde yirmi beşi silindikten sonra kalanlar arasından rastgele seçilen birinin D ile başlama olasılığının EN AZ kaç olacağını soruyor.
Çözümün devamı Solvi’de
5 adım daha kilitli. Tamamını animasyonlu ve sesli anlatımla ücretsiz izle.
Fotoğrafını çek, her soruyu böyle çöz.
Çözümün Devamını Ücretsiz İzle
İndirmesi ücretsiz · İlk çözümler hediye
100K+Her gün çözülen soru
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4.8 ★App Store puanı
