биномдық коэффициенттер деп аталады. Оларды Паскаль үшбұрышы арқылы табуға болады.
1![](data:image/png;base64,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) . Ықтималдықтың классикалық анықтамасы
2. Қасиеттері
1. Кезкелген математикалық теория белгілі бір ұғымдар негізінде құрылатын болғандықтан, біз ықтималдықтар теориясын құруда ықтималдықтың классикалық анықтамасына сүйенеміз.
Жалпы, ықтималдықтың классикалық анықтамасынан басқа да геометриялық, статистикалық, аксиоматикалық анықтамалары да бар.Олардың әрқайсысының қолданатын орны, ерекшеліктері, бір-бірінен артықшылықтары мен кемшіліктері бар. Мысалы, геометриялық ықтималдықтар астрономия, биология, атомдық физика т.с.с. салаларында жиі қолданылғанымен ол классикалық анықтама сияқты айқын емес.
Ал статистикалық анықтаманың іс жүзінде орындалатын түрлі зерттеулерде ерекше мәні бар, мысалы, үлкен жиынды зерттеу керек болғанда, ол қиын болғандықтан оның бәлігін (таңдаманы) зерттейміз, сөйтіп, таңдаманы зерттеу нәтижесінде кездейсоқ оқиғаның салыстырмалы жиілігін анықтаймыз. Осы арқылы ықтималдықтың сандық мәнін бағалаймыз, яғни қарастырып отырған құбылыстың сандық сипаттамасы негізделеді. Сонымен, ықтималдықтар теориясымен статистиканы (тәжірибені) байланыстыратын маңызды дәнекер модель–үлкен сандар заңына алып келеді (ол туралы алдағы бөлімдерде айтылады).
Осы анықтамалардың бәрінің негізі болатын ықтималдықтың классикалық анықтамасын алғаш рет француз ғалымы Лаплас (1794-1827) берген еді.
Бұл анықтама саны шекті болатын тең мүмкіндікті элементар оқиғалар туралы қысқаша түсінік берейік.
Жасалған әрекетке (сынақ, тәжірибе) қойылатын негізгі шарт оның мүмкін болатын нәтижесін көрсете білуіміз керек. Ал әрекет жасалғанда тек бірінің ғана орындалуын талап ете отырып, жасалған әрекеттің нәтижелерінің мүмкін мәндерін бұдан былай элементар оқиғалар деп атаймыз да, оны ti арқылы белгілейміз . Элементар оқиғалар – әрі қарай жіктелмейтін оқиғалар. Ал әрекеттің нәтижесі тек бір ғана элементар оқиғамен көрсетіледі. Әрекеттің барлық мүмкін болатын нәтижелері жиынын элементар оқиғалар жиыны дейміз. Мұны {ω} арқылы белгілейік. Элементар оқиғалар {ω} жиынының әрбір ішкі элементі оқиға деп аталады. Оларды А,В,С,.... әріптерімен белгілейміз. Мысалы, асықты үйіргенде барлық мүмкін нәтижелер жиыны t1, t2, t3 , t4} – элементар оқиғалар жиыны. Мұндағы t1 – асық алшы түсті, t2 – тәйке түсті, t3 – бүк түсті, t4 – шік түсті оқиғалар.
Енді мысалмен негіздей отырып, ықтималдықтың классикалық анықтамасын берейік.
Жәшікте мұқият араластырған 2-жасыл, 3-көк, 1-ақ барлығы 6 асық болсын. Егер біз кезкелген бір асықты алатын болсақ, онда боялған (көк не қызыл) асықтың шығу мүмкіндігі ақ асыққа қарағанда көп. Осы мүмкіндікті санмен көрсетуге бола ма екен?
Соны көрсетейік: боялған асықтың шығуын А – оқиғасы деп белгілейік. Әрбір әрекеттің мүмкін болатын нәтижесін элементар оқиғалар деп атайық та t1, t2,.... т.с.с. белгілейік. Біздің жағдайда мынадай 6 элементар оқиғаның болуы мүмкін: t1 – ақ асық шықты, t2, t3 – қызыл асық шықты, t4, t5,t6 – көк асық шықты.
Бұл оқиғалар өзара үйлесімсіз, мүмкіндіктері бірдей болатын толық топты құрайды. Бұл жерде әрбір элементарлық оқиға бір-ақ мәнге ие болатынын атап айтуымыз керек. Біз қажет етіп отырған А оқиғасы орындалатын элементарлық оқиғаларды, біз үшін ыңғайлы элементарлық оқиғалар деп атаймыз. Біздің мысалда А оқиғасына ыңғайлы, яғни оның орындалуына ықпал етуші мынадай 6 элементарлық оқиғалар бар: t2, t3, t4, t5, t6
Анықтама. А оқиғасының ықтималдығы деп, осы оқиғаның орындалуына ыңғайлы болатын, яғни ықпал ететін элементарлық оқиғалардың санын, мүкіндіктері бірдей, өзара үйлесімсіз, толық топ құрайтын, барлық элементарлық оқиғалардың санына қатынасын айтамыз да, былайша белгілейміз:
(1)
мұндағы m – оқиғаның орындалуына ыңғайлы, яғни ықпал етуші элементарлық оқиғалардың саны. n – барлық мүмкін болатын элементарлық оқиғалардың саны. Сонда біздің мысал ![](data:image/png;base64,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) ![](data:image/png;base64,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) болып шешіледі.
Достарыңызбен бөлісу: |