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Pick Your Lucky Numbers
Min 6 - Max 20
Pick Your Lucky Numbers
Your Lucky List
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990
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Odds Calculator
Probability of winning by playing
numbers
Matches
Probability
Calculation
6
1 : 622614630
(66)⋅(90−66−6)(906)=1⋅1622614630 \frac{ {6 \choose 6} \cdot {{90 - 6} \choose {6 - 6}} }{90 \choose 6} = \frac{ 1 \cdot 1 }{622614630}
5
1 : 1235346.49
(65)⋅(90−66−5)(906)=6⋅84622614630 \frac{ {6 \choose 5} \cdot {{90 - 6} \choose {6 - 5}} }{90 \choose 6} = \frac{ 6 \cdot 84 }{622614630}
4
1 : 11906.95
(64)⋅(90−66−4)(906)=15⋅3486622614630 \frac{ {6 \choose 4} \cdot {{90 - 6} \choose {6 - 4}} }{90 \choose 6} = \frac{ 15 \cdot 3486 }{622614630}
3
1 : 326.72
(63)⋅(90−66−3)(906)=20⋅95284622614630 \frac{ {6 \choose 3} \cdot {{90 - 6} \choose {6 - 3}} }{90 \choose 6} = \frac{ 20 \cdot 95284 }{622614630}
2
1 : 21.51
(62)⋅(90−66−2)(906)=15⋅1929501622614630 \frac{ {6 \choose 2} \cdot {{90 - 6} \choose {6 - 2}} }{90 \choose 6} = \frac{ 15 \cdot 1929501 }{622614630}
2+
1 : 20.15
∑i=26(6i)⋅(90−66−i)(906) \sum_{i = 2}^{6}{ \frac{ {6 \choose i} \cdot {{90 - 6} \choose {6 - i}} }{90 \choose 6} }
The probability of matching i of the 6 drawn numbers by playing a k-number ticket is calculated with the following formula:
(6i)⋅(90−6k−i)(90k) \frac{ {6 \choose i} \cdot {{90 - 6} \choose {k - i}} }{ {90 \choose k} }
That is the probability of matching exactly i of the drawn numbers. For the probability of winning at least 1 prize (that is, matching at least 2 of the drawn numbers, as per last row of the table) we need to add up all the above probabilities.