6 Main Numbers (Jackpot)

1 in 20,358,520.000 
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The odds for this prize level are not influenced by any 'Bonus Balls' and only the variables associated with the main ball pool are required to calculate the correct odds. The following formula is therefore used (Please note: calculations have been rounded): 

C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool


Substitute:
n for 52 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 6 (balls to be matched from the main pool)


Expand:
C(52,6) = 52! ÷ (6! × (526)!)
C(6,6) = 6! ÷ (6! × (66)!)
C(526,66) = 46! ÷ (0! × (460)!)
! means 'Factorial' eg: 52! = 52 × 51 × 50 ... × 1
Note: 0! = 1


Simplify:
52! ÷ (6! × (526)!) = 20,358,520
6! ÷ (6! × (66)!) = 1
46! ÷ (0! × (460)!) = 1

20,358,520 
= 
20,358,520.000 
1 

Calculate:
20,358,520 ÷ (1 × 1) = 20,358,520.000


5 Main Numbers + Extra Shot

1 in 3,393,086.667 
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The odds for this prize level are directly influenced by the Extra Shot. Since the Extra Shot is drawn from the same pool as the main numbers, the following formula is used (Please note: calculations have been rounded):

C(n,r) 

× 
C(r,m) 
× 
C(nr,rm) 

C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool

C(52,6) 

× 
C(6,5) 
× 
C(526,65) 

Substitute:
n for 52 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 5 (balls to be matched from the main pool)


Expand:
C(52,6) = 52! ÷ (6! × (526)!)
C(6,5) = 6! ÷ (5! × (65)!)
C(526,65) = 46! ÷ (1! × (461)!)
! means 'Factorial' eg: 52! = 52 × 51 × 50 ... × 1
Note: 0! = 1

20,358,520 
0.0217 
× 
6 
× 
46 

Simplify:
52! ÷ (6! × (526)!) = 20,358,520
(65) ÷ (526) = 0.0217
6! ÷ (5! × (65)!) = 6
46! ÷ (1! × (461)!) = 46

20,358,520 
= 
3,393,086.667 
6 

Calculate:
20,358,520 ÷ (0.0217 × 6 × 46) = 3,393,086.667


5 Main Numbers

1 in 75,401.926 
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The odds for this prize level are indirectly influenced by the Extra Shot. Even though this prize level only involves matching 5 main numbers, the fact that you can also match 5 main numbers and a Extra Shot means the odds of matching 5 main numbers alone are increased. Since the Extra Shot is also drawn from the same pool as the main numbers, the following formula is used (Please note: calculations have been rounded):

C(n,r) 

× 
C(r,m) 
× 
C(nr,rm) 

C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool

C(52,6) 

× 
C(6,5) 
× 
C(526,65) 

Substitute:
n for 52 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 5 (balls to be matched from the main pool)


Expand:
C(52,6) = 52! ÷ (6! × (526)!)
C(6,5) = 6! ÷ (5! × (65)!)
C(526,65) = 46! ÷ (1! × (461)!)
! means 'Factorial' eg: 52! = 52 × 51 × 50 ... × 1
Note: 0! = 1

20,358,520 
0.9783 
× 
6 
× 
46 

Simplify:
52! ÷ (6! × (526)!) = 20,358,520
(5266+5) ÷ (526) = 0.0217
6! ÷ (5! × (65)!) = 6
46! ÷ (1! × (461)!) = 46

20,358,520 
= 
75,401.926 
270 

Calculate:
20,358,520 ÷ (0.9783 × 6 × 46) = 75,401.926


4 Main Numbers + Extra Shot

1 in 30,160.770 
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The odds for this prize level are directly influenced by the Extra Shot. Since the Extra Shot is drawn from the same pool as the main numbers, the following formula is used (Please note: calculations have been rounded):

C(n,r) 

× 
C(r,m) 
× 
C(nr,rm) 

C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool

C(52,6) 

× 
C(6,4) 
× 
C(526,64) 

Substitute:
n for 52 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 4 (balls to be matched from the main pool)


Expand:
C(52,6) = 52! ÷ (6! × (526)!)
C(6,4) = 6! ÷ (4! × (64)!)
C(526,64) = 46! ÷ (2! × (462)!)
! means 'Factorial' eg: 52! = 52 × 51 × 50 ... × 1
Note: 0! = 1

20,358,520 
0.0435 
× 
15 
× 
1,035 

Simplify:
52! ÷ (6! × (526)!) = 20,358,520
(64) ÷ (526) = 0.0435
6! ÷ (4! × (64)!) = 15
46! ÷ (2! × (462)!) = 1,035

20,358,520 
= 
30,160.770 
675 

Calculate:
20,358,520 ÷ (0.0435 × 15 × 1,035) = 30,160.770


4 Main Numbers

1 in 1,370.944 
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The odds for this prize level are indirectly influenced by the Extra Shot. Even though this prize level only involves matching 4 main numbers, the fact that you can also match 4 main numbers and a Extra Shot means the odds of matching 4 main numbers alone are increased. Since the Extra Shot is also drawn from the same pool as the main numbers, the following formula is used (Please note: calculations have been rounded):

C(n,r) 

× 
C(r,m) 
× 
C(nr,rm) 

C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool

C(52,6) 

× 
C(6,4) 
× 
C(526,64) 

Substitute:
n for 52 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 4 (balls to be matched from the main pool)


Expand:
C(52,6) = 52! ÷ (6! × (526)!)
C(6,4) = 6! ÷ (4! × (64)!)
C(526,64) = 46! ÷ (2! × (462)!)
! means 'Factorial' eg: 52! = 52 × 51 × 50 ... × 1
Note: 0! = 1

20,358,520 
0.9565 
× 
15 
× 
1,035 

Simplify:
52! ÷ (6! × (526)!) = 20,358,520
(5266+4) ÷ (526) = 0.0435
6! ÷ (4! × (64)!) = 15
46! ÷ (2! × (462)!) = 1,035

20,358,520 
= 
1,370.944 
14,850 

Calculate:
20,358,520 ÷ (0.9565 × 15 × 1,035) = 1,370.944


3 Main Numbers + Extra Shot

1 in 1,028.208 
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The odds for this prize level are directly influenced by the Extra Shot. Since the Extra Shot is drawn from the same pool as the main numbers, the following formula is used (Please note: calculations have been rounded):

C(n,r) 

× 
C(r,m) 
× 
C(nr,rm) 

C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool

C(52,6) 

× 
C(6,3) 
× 
C(526,63) 

Substitute:
n for 52 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 3 (balls to be matched from the main pool)


Expand:
C(52,6) = 52! ÷ (6! × (526)!)
C(6,3) = 6! ÷ (3! × (63)!)
C(526,63) = 46! ÷ (3! × (463)!)
! means 'Factorial' eg: 52! = 52 × 51 × 50 ... × 1
Note: 0! = 1

20,358,520 
0.0652 
× 
20 
× 
15,180 

Simplify:
52! ÷ (6! × (526)!) = 20,358,520
(63) ÷ (526) = 0.0652
6! ÷ (3! × (63)!) = 20
46! ÷ (3! × (463)!) = 15,180

20,358,520 
= 
1,028.208 
19,800 

Calculate:
20,358,520 ÷ (0.0652 × 20 × 15,180) = 1,028.208


3 Main Numbers

1 in 71.735 
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The odds for this prize level are indirectly influenced by the Extra Shot. Even though this prize level only involves matching 3 main numbers, the fact that you can also match 3 main numbers and a Extra Shot means the odds of matching 3 main numbers alone are increased. Since the Extra Shot is also drawn from the same pool as the main numbers, the following formula is used (Please note: calculations have been rounded):

C(n,r) 

× 
C(r,m) 
× 
C(nr,rm) 

C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool

C(52,6) 

× 
C(6,3) 
× 
C(526,63) 

Substitute:
n for 52 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 3 (balls to be matched from the main pool)


Expand:
C(52,6) = 52! ÷ (6! × (526)!)
C(6,3) = 6! ÷ (3! × (63)!)
C(526,63) = 46! ÷ (3! × (463)!)
! means 'Factorial' eg: 52! = 52 × 51 × 50 ... × 1
Note: 0! = 1

20,358,520 
0.9348 
× 
20 
× 
15,180 

Simplify:
52! ÷ (6! × (526)!) = 20,358,520
(5266+3) ÷ (526) = 0.0652
6! ÷ (3! × (63)!) = 20
46! ÷ (3! × (463)!) = 15,180

20,358,520 
= 
71.735 
283,800 

Calculate:
20,358,520 ÷ (0.9348 × 20 × 15,180) = 71.735


2 Main Numbers + Extra Shot

1 in 95.647 
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The odds for this prize level are directly influenced by the Extra Shot. Since the Extra Shot is drawn from the same pool as the main numbers, the following formula is used (Please note: calculations have been rounded):

C(n,r) 

× 
C(r,m) 
× 
C(nr,rm) 

C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool

C(52,6) 

× 
C(6,2) 
× 
C(526,62) 

Substitute:
n for 52 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 2 (balls to be matched from the main pool)


Expand:
C(52,6) = 52! ÷ (6! × (526)!)
C(6,2) = 6! ÷ (2! × (62)!)
C(526,62) = 46! ÷ (4! × (464)!)
! means 'Factorial' eg: 52! = 52 × 51 × 50 ... × 1
Note: 0! = 1

20,358,520 
0.0870 
× 
15 
× 
163,185 

Simplify:
52! ÷ (6! × (526)!) = 20,358,520
(62) ÷ (526) = 0.0870
6! ÷ (2! × (62)!) = 15
46! ÷ (4! × (464)!) = 163,185

20,358,520 
= 
95.647 
212,850 

Calculate:
20,358,520 ÷ (0.0870 × 15 × 163,185) = 95.647


2 Main Numbers

1 in 9.109 
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The odds for this prize level are indirectly influenced by the Extra Shot. Even though this prize level only involves matching 2 main numbers, the fact that you can also match 2 main numbers and a Extra Shot means the odds of matching 2 main numbers alone are increased. Since the Extra Shot is also drawn from the same pool as the main numbers, the following formula is used (Please note: calculations have been rounded):

C(n,r) 

× 
C(r,m) 
× 
C(nr,rm) 

C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool

C(52,6) 

× 
C(6,2) 
× 
C(526,62) 

Substitute:
n for 52 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 2 (balls to be matched from the main pool)


Expand:
C(52,6) = 52! ÷ (6! × (526)!)
C(6,2) = 6! ÷ (2! × (62)!)
C(526,62) = 46! ÷ (4! × (464)!)
! means 'Factorial' eg: 52! = 52 × 51 × 50 ... × 1
Note: 0! = 1

20,358,520 
0.9130 
× 
15 
× 
163,185 

Simplify:
52! ÷ (6! × (526)!) = 20,358,520
(5266+2) ÷ (526) = 0.0870
6! ÷ (2! × (62)!) = 15
46! ÷ (4! × (464)!) = 163,185

20,358,520 
= 
9.109 
2,234,925 

Calculate:
20,358,520 ÷ (0.9130 × 15 × 163,185) = 9.109


1 Main Numbers + Extra Shot

1 in 22.773 
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The odds for this prize level are directly influenced by the Extra Shot. Since the Extra Shot is drawn from the same pool as the main numbers, the following formula is used (Please note: calculations have been rounded):

C(n,r) 

× 
C(r,m) 
× 
C(nr,rm) 

C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool

C(52,6) 

× 
C(6,1) 
× 
C(526,61) 

Substitute:
n for 52 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 1 (balls to be matched from the main pool)


Expand:
C(52,6) = 52! ÷ (6! × (526)!)
C(6,1) = 6! ÷ (1! × (61)!)
C(526,61) = 46! ÷ (5! × (465)!)
! means 'Factorial' eg: 52! = 52 × 51 × 50 ... × 1
Note: 0! = 1

20,358,520 
0.1087 
× 
6 
× 
1,370,754 

Simplify:
52! ÷ (6! × (526)!) = 20,358,520
(61) ÷ (526) = 0.1087
6! ÷ (1! × (61)!) = 6
46! ÷ (5! × (465)!) = 1,370,754

20,358,520 
= 
22.773 
893,970 

Calculate:
20,358,520 ÷ (0.1087 × 6 × 1,370,754) = 22.773


Extra Shot Only

1 in 16.663 
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The odds for this prize level are directly influenced by the Extra Shot. Since the Extra Shot is drawn from the same pool as the main numbers, the following formula is used (Please note: calculations have been rounded):

C(n,r) 

× 
C(r,m) 
× 
C(nr,rm) 

C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool

C(52,6) 

× 
C(6,0) 
× 
C(526,60) 

Substitute:
n for 52 (number of balls in the main pool)
r for 6 (balls drawn from the main pool)
m for 0 (balls to be matched from the main pool)


Expand:
C(52,6) = 52! ÷ (6! × (526)!)
C(6,0) = 6! ÷ (0! × (60)!)
C(526,60) = 46! ÷ (6! × (466)!)
! means 'Factorial' eg: 52! = 52 × 51 × 50 ... × 1
Note: 0! = 1

20,358,520 
0.1304 
× 
1 
× 
9,366,819 

Simplify:
52! ÷ (6! × (526)!) = 20,358,520
(60) ÷ (526) = 0.1304
6! ÷ (0! × (60)!) = 1
46! ÷ (6! × (466)!) = 9,366,819

20,358,520 
= 
16.663 
1,221,759 

Calculate:
20,358,520 ÷ (0.1304 × 1 × 9,366,819) = 16.663


Overall Odds: 1 in 4.169 