請問中六合彩一, 二, 三.......至安慰獎的機會率有幾多???

現在六合彩共有49個字。

頭獎機會率（中6個字）
= 6/49 * 5/48 * 4/47 * 3/46 * 2/45 * 1/44
= 1/13,983,816 (0.000007151%)

二獎機會率（中5個半字）
= (6/49 * 5/48 * 4/47 * 3/46 * 2/45 * 43/44) * 6C5 * 1/43
= 43/13,983,816 * 6! / (1! * 5!) * 1/43
= 1/2,330,636 (0.00004291%)

三獎機會率（中5個字）
= (6/49 * 5/48 * 4/47 * 3/46 * 2/45 * 43/44) * 6C5 * 42/43
= 43/13,983,816 * 6! / (1! * 5!) * 42/43
= 3/166,474 (0.001802%)

四獎機會率（中4個半字）
= (6/49 * 5/48 * 4/47 * 3/46 * 43/45 * 42/44) * 6C4 * 2/43
= 43/665,896 * 6! / (2! * 4!) * 2/43
= 15/332,948 (0.004505%)

五獎機會率（中4個字）
= (6/49 * 5/48 * 4/47 * 3/46 * 43/45 * 42/44) * 6C4 * 41/43
= 43/665,896 * 6! / (2! * 4!) * 41/43
= 615/665,896 (0.09236%)

六獎機會率（中3個半字）
= (6/49 * 5/48 * 4/47 * 43/46 * 42/45 * 41/44) * 6C3 * 3/43
= 1,763/1,997,688 * 6! / (3! * 3!) * 3/43
= 205/166,474 (0.1231%)

七獎機會率 - 安慰獎（中3個字）
= (6/49 * 5/48 * 4/47 * 43/46 * 42/45 * 41/44) * 6C3 * 40/43
= 1,763/1,997,688 * 6! / (3! * 3!) * 40/43
= 4,100/249,711 (1.6419%)

1st=0.00000715%
2nd=0.0000324%
3rd=0.00180%
4th=0.00451%
5th=0.0954%
6th=0.228%
7th=1.644%

50%,一係中,一係唔中,哈哈。

(SW)

1st...............0.00000715 %
2nd .............0.0000429 %
3rd ..............0.00180 %
4th.............. 0.00451 %
5th.............. 0.0924 %
6th ..............0.123 %
7th ..............1.64 %