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Giải bài 3 trang 100 SBT toán 10 - Chân trời sáng tạo

Chỉ có 1 cái ô xanh, 1 cái ô trắng, 1 cái mũ xanh, 1 cái mũ trắng, 1 cái mũ đen, 1 đôi giày đen, 1 đôi giày trắng.

🌸Tổng hợp đề thi học kì 2 lớp 10 tất cả các môn - Chân trời sáng tạo

Toán - Văn - Anh - Lí - Hóa - Sinh - Sử - Địa...
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Đề bài

Chỉ có 1 cái ô xanh, 1 cái ô trắng, 1 cái mũ xanh, 1 cái mũ trắng, 1 cái mũ đen, 1 đôi giày đen, 1 đôi giày trắng. Chi chọn ngẫu nhiên 1 cái ô, 1 cái mũ và 1 đôi giày để đến trường a) Hãy vẽ sơ đồ mô tả các kết quả có thể xảy ra b) Tính xác suất của biến cố “Chỉ có 1 trong 3 thứ đồ Chi chọn có màu trắng”

Phương pháp giải - Xem chi tiết

Phép thử có không gian mẫu gồm hữu hạn các kết quả có cùng khả năng xảy ra và A là 1 biến cố Xác suất của biến cố A là một số, kí hiệu \(P\left( A \right)\) được xác định bởi công thức: \(P\left( A \right) = \frac{{n\left( A \right)}}{{n\left( \Omega  \right)}}\), trong đó \(n\left( A \right)\) và \(n\left( \Omega  \right)\) lần lượt là kí hiệu số phần tử của tập A và \(\Omega \)

Lời giải chi tiết

a)

b)Dựa vào sơ đồ cây, ta có số cách chọn 1 ô, 1 mũ và 1 đôi giày là 12 cách.Do đó \(n\left( \Omega  \right) = 2.3.2 = 12\)Gọi A là biến cố “Chỉ có 1 trong 3 thứ đồ Chi chọn có màu trắng”Nhìn vào sơ đồ cây, Chi có các cách chọn là:Ô trắng -mũ xanh – giày đenÔ trắng -mũ đen – giày đenÔ xanh -mũ xanh – giày trắngÔ xanh -mũ trắng – giày đenÔ xanh -mũ đen – giày trắng\( \Rightarrow n\left( A \right) = 5\)\( \Rightarrow P\left( A \right) = \frac{{n\left( A \right)}}{{n\left( \Omega  \right)}} = \frac{5}{{12}}\) 

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Ph/hs Tham Gia Nhóm Để Cập Nhật Điểm Thi, Điểm Chuẩn Miễn Phí

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