Có hai hộp đựng bi. Hộp I có 9 viên bi được đánh số 1,2,...,9. Lấy ngẫu nhiên mỗi hộp một viên bi. Biết rằng xác suất để lấy được viên bi mang số chẵn ở hộp II là 103. Xác suất để lấy được cả hai viên bi mang số chẵn là
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Xác suất lấy được bi chẵn ở hộp II là $\dfrac{3}{10}$ (đề bài cho).
Vì việc lấy bi ở hai hộp là độc lập, xác suất để lấy được cả hai viên bi mang số chẵn là tích của xác suất lấy được bi chẵn ở mỗi hộp:
$\dfrac{4}{9} \times \dfrac{3}{10} = \dfrac{12}{90} = \dfrac{2}{15}$
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