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Консультация № 202361
18.03.2022, 07:42
0.00 руб.
25.03.2022, 04:11
1
1
1
Здравствуйте! Прошу помощи в следующем вопросе:
На отрезок AB случайным образом бросается точка. Какова вероятность, что она более чем в 2 раза будет ближе к точке A чем к B?
На отрезок AB случайным образом бросается точка. Какова вероятность, что она более чем в 2 раза будет ближе к точке A чем к B?
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Обсуждение
18.03.2022, 08:26
общий
это ответ
Здравствуйте, klombisa!
Пусть точка C лежит между точками A и B так, что
Тогда отрезок AC с "выколотой" точкой C представляет собой множество точек отрезка AB, которые более чем в два раза ближе к точке A, чем к точке B. В соответствии с определением геометрической вероятности искомая составляет 
потому что 
Пусть точка C лежит между точками A и B так, что
Тогда отрезок AC с "выколотой" точкой C представляет собой множество точек отрезка AB, которые более чем в два раза ближе к точке A, чем к точке B. В соответствии с определением геометрической вероятности искомая составляет потому что
5
спасибо!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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