49樂合彩的選號機率?

2010-01-18 11:38 pm
您好:
有以下問題想請教:
1.49樂合彩選6中5的機率?
2.49樂合彩選5中4的機率?
3.49樂合彩選4中3的機率?
4.49樂合彩選3中2的機率?
5.49樂合彩選2中1的機率?
6.49樂合彩選1中1的機率?
7.49樂合彩選6中2的機率?
8.49樂合彩選6中1的機率?
9.49樂合彩選5中2的機率?
10.49樂合彩選4中2的機率?
11.49樂合彩選6中3的機率?
12.49樂合彩選3中2的機率?
謝謝解答!

回答 (1)

2010-01-19 1:48 am
✔ 最佳答案
公式 : (a >= b) & (0 <= a <= 6)

P(選a中b) = (6Cb) [(49-6)C(a-b)] / (49Ca).....
= (6Cb) [43C(a-b)] / (49Ca)
1)P(選6中5) = (6C5) 43 / (49C6) = 1 / 54200.83721
2)P(選5中4) = (6C4) 43 / (49C5) = 1 / 2956.409302
3)P(選4中3) = (6C3) 43 / (49C4) = 1 / 246.3674419
4)P(選3中2) = (6C2) 43 / (49C3) = 1 / 28.56434109
5)P(選2中1) = (6C1) 43 / (49C2) = 1 / 4.558139535
6)P(選1中1) = 6/49 or = (6C1) [43C(1-1)] / (49C1)
= 1 / 8.166666667
7)P(選6中2) = (6C2) (43C4) / (49C6) = 1 / 7.554123653
8)P(選6中1) = (6C1) (43C5) / (49C6) = 1 / 2.421193479
9)P(選5中2) = (6C2) (43C3) / (49C5) = 1 / 10.30107771
10)P(選4中2) = (6C2) (43C2) / (49C4) = 1 / 15.64237726
11)P(選6中3) = (6C3) (43C3) / (49C6) = 1 / 56.6559274
12)P(選3中2) = (6C2) (43C1) / (49C3) = 1 / 28.56434109


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