5個(gè)骰子,點(diǎn)數(shù)1可以當(dāng)作2-6出現(xiàn)個(gè)數(shù)最多的任意一點(diǎn)
比如:擲出12322,出現(xiàn)個(gè)數(shù)最多的是2,則點(diǎn)數(shù)1當(dāng)作2,有4個(gè)一樣的數(shù)
擲出12332,出現(xiàn)個(gè)數(shù)最多的是2和3,則點(diǎn)數(shù)1當(dāng)作2或3,有3個(gè)一樣的數(shù)
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擲一次,有2個(gè)一樣(aa-bcd型,a可能是1)的數(shù)概率是
(C(5,1)*P(5,4)+C(5,1)*C(5,2)*P(4,3))/6^5
=(5*120+5*10*4*3*2)/6^5
=1800/6^5
=25/108
擲一次,有2個(gè)一樣(aabb-c型,a不能是1)的數(shù)概率是
(C(5,2)*C(5,2)*C(3,2)*C(3,1))/6^5
=(10*10*3*3)/6^5
=900/6^5
=25/216
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擲一次,有3個(gè)一樣的數(shù)(aaa-bc型,a可能是1)概率是
(C(5,2)*P(5,3)+C(5,1)*C(5,1)*C(4,2)*P(4,2)+C(5,1)*C(5,3)*P(4,2))/6^5
=(10*60+5*5*6*12+5*10*12)/6^5
=3000/7776
=125/324
擲一次,有3個(gè)一樣的數(shù)(1aa-bb型,ab不能是1)概率是
(C(5,1)*C(5,2)*C(4,2))/6^5=(5*10*6)/6^5=300/6^5=25/648
擲一次,有3個(gè)一樣的數(shù)(aaa-bb型,ab不能是1)概率是
(C(5,1)*C(5,3)*C(4,1))/6^5=(5*10*4)/6^5=200/6^5=25/972
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擲一次,有4個(gè)一樣的數(shù)(aaaa-b型,a可能是1)概率是
(C(5,3)*P(5,2)+C(5,2)*C(5,1)*C(3,2)*C(4,1)+C(5,1)*C(5,1)*C(4,3)*C(4,1)+C(5,1)*C(5,4)*C(4,1))/6^5
=(10*20+10*5*3*4+5*5*4*4+5*5*4)/6^5
=1300/7776
=325/1944