我想問下六合彩中一個字機會率係幾多?

中一個字共6個
不中獎號碼共49-7=42個
只中第一個字機會率= 1/6 * 42/49 * 41/49 * 40 /49*39 /49*38/49
= 102080160/1694851494=0.06022956
只中第二個字機會率= 42/49 * 1/6 *41/49 * 40 /49*39 /49*38/49
= 102080160/1694851494=0.06022956
....
....
只中第六個字機會率= 42/49 *41/49 * 40 /49*39 /49*38/49 *1/6
= 102080160/1694851494=0.06022956

六合彩只中一個字機會率是︰
=0.06022956*6=0.36137736

this is a probability question, but u do not have numbers...how we can predict it??

以上只有LULLABY是對的.

如要是中一個字或以上, 是 1 減全部不中的機會 = 1 - (42/49 * 41/48 * 40/47 * 39/46 * 38/45 * 37/44)

但如果連特別號碼都當一個字, 咁就將LULLABY的情況變成七個CASES,

CASE MATCH 1st number 但其餘6個不中 = 7/49 * 42/48 * 41/47 * 40/46 * 39/45 * 38/44 * 37/43
...
再將七個CASES機會率相加總和

是1/49 就中一個的機會
中二個字, 係1/1176 分之一.

Divide into 3 batches: the 6 #s, the extra # & the remaining 42 #s

There are 6 cases:
Match the 1st # but not the others = 6/49 x 42/48 x 41/47 x 40/46 x 39/45 x 38/44
Match the 2nd # but not the others = 42/49 x 6/48 x 41/47 x 40/46 x 39/45 x 38/44
Match the 3rd # but not the others = 42/49 x 41/48 x 6/47 x 40/46 x 39/45 x 38/44
Match the 4th # but not the others = 42/49 x 41/48 x 40/47 x 6/46 x 39/45 x 38/44
Match the 5th # but not the others = 42/49 x 41/48 x 40/47 x 39/46 x 6/45 x 38/44
Match the 6th # but not the others = 42/49 x 41/48 x 40/47 x 39/46 x 38/45 x 6/44

So, probability
= their sum
= 6/49 x 42/48 x 41/47 x 40/46 x 39/45 x 38/44
+ 42/49 x 6/48 x 41/47 x 40/46 x 39/45 x 38/44
+ 42/49 x 41/48 x 6/47 x 40/46 x 39/45 x 38/44
+ 42/49 x 41/48 x 40/47 x 6/46 x 39/45 x 38/44
+ 42/49 x 41/48 x 40/47 x 39/46 x 6/45 x 38/44
+ 42/49 x 41/48 x 40/47 x 39/46 x 38/45 x 6/44

2008-02-13 13:49:05 補充：
Thx toyotradcom for the supplement~Yup, the above ans assumes that the extra # is not counted as 中一個字 coz 馬會 treats the extra # as 中半個字 only.....

2008-02-13 13:49:40 補充：
I just find that all the 6 cases have the same probability= (6 x 42 x 41 x 40 x 39 x 38) / (49 x 48 x 47 x 46 x 45 x 44)So, the overall probability can be simplified as= ( (6 x 42 x 41 x 40 x 39 x 38) / (49 x 48 x 47 x 46 x 45 x 44) ) x 6= 0.364993933

14jk kthhghf

1/49 x 1/48 x 1/47 x 1/46 x 1/45 x 1/44
= 1/10068347520

2008-02-13 13:02:42 補充：
希望你係 1/10068347520 嗰個啦

根本就無法預測

1OVER1X.....X49