{"id":1787,"date":"2024-04-16T07:03:42","date_gmt":"2024-04-16T07:03:42","guid":{"rendered":"https:\/\/domath.surju.ee\/?page_id=1787"},"modified":"2025-01-02T19:44:34","modified_gmt":"2025-01-02T19:44:34","slug":"probability","status":"publish","type":"page","link":"https:\/\/domath.surju.ee\/et\/toenaosus\/","title":{"rendered":"T\u00f5en\u00e4osus"},"content":{"rendered":"

T\u00f5en\u00e4osus<\/span><\/strong><\/h1>\r\n\r\n

S\u00fcndmuse t\u00f5en\u00e4osus <\/strong> on arv, mis iseloomustab s\u00fcndmuse toimumise t\u00f5en\u00e4osust teatud tingimustel.
\r\nSuhteline sagedus<\/strong> n\u00e4itab, kui suur on t\u00f5en\u00e4osus mingi s\u00fcndmuse toimumiseks.
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\r\nT\u00f5en\u00e4osuse leiame<\/strong>, kui jagame soodsate v\u00f5i oodatud v\u00f5imaluste arvu k\u00f5ikide v\u00f5imaluste arvuga.
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\r\nS\u00fcndmuse A klassikaline t\u00f5en\u00e4osus:<\/strong><\/span><\/span><\/span><\/p>\r\n

\"\"
\r\nn – k\u00f5ikide v\u00f5imaluste arv, k – soodsate v\u00f5imaluste arv. 
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\r\nT\u00f5en\u00e4osust v\u00e4ljendatakse sageli protsentides<\/strong><\/p>\r\n

Kindel s\u00fcndmus <\/strong>on s\u00fcndmus, mis katse v\u00f5i vaatluse korral alati toimub, t\u00f5en\u00e4osus on 1.
\r\nN\u00e4ide 1<\/strong>. <\/span>Reedele j\u00e4rgneb laup\u00e4ev.
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\r\nV\u00f5imatu s\u00fcndmus <\/strong>on s\u00fcndmus, mis katse v\u00f5i vaatluse korral kunagi ei toimu, t\u00f5en\u00e4osus on 0.
\r\nN\u00e4ide 2.<\/strong> T<\/span><\/span>\u00e4r<\/span>ingu veeretamisel saadakse silmade arvuks 7.
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\r\nJuhuslik s\u00fcndmus <\/strong>on s\u00fcndmus, mis katse v\u00f5i vaatluse korral v\u00f5ib toimuda, aga v\u00f5ib ka mitte toimuda. 
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\r\n<\/strong>Juhusliku s\u00fcndmuse t\u00f5en\u00e4osus<\/strong> on alati arvude nulli ja \u00fche vahel.
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\r\n0\u2264P(A)\u22641
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\r\n\"\"<\/span><\/strong>
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\r\nN\u00e4ide 3.<\/span><\/strong> Kui sa veeretad t\u00e4ringut, siis on v\u00f5imalik kuus erinevat tulemust: <\/span>1, 2, 3, 4, 5, 6. Iga tulemuse t\u00f5en\u00e4osus on 1\/6.
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\r\nN\u00e4ide 4.<\/strong><\/span>
\r\nKui suur on t\u00f5en\u00e4osus, et t\u00e4ringut veeretades tuleb paarisarv silmi?
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\r\nT\u00e4ringu veeretamisel v\u00f5ib tulla silmade arvuks 1, 2, 3, 4, 5 v\u00f5i 6 silma. K\u00f5ikide v\u00f5imaluste arv on 6.
\r\nPaarisarvud on 2, 4 ja 6. Soodsate v\u00f5imaluste arv 3.
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\r\nVastus. T\u00f5en\u00e4osus, et t\u00e4ringu veeretamisel tuleb paarisarv silmi, on 50%.
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\r\n<\/p>\r\n\r\n\r\n