6 Main Numbers (Jackpot)

1 in 22,957,480.000 
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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 53 (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(53,6) = 53! ÷ (6! × (536)!)
C(6,6) = 6! ÷ (6! × (66)!)
C(536,66) = 47! ÷ (0! × (470)!)
! means 'Factorial' eg: 53! = 53 × 52 × 51 ... × 1
Note: 0! = 1


Simplify:
53! ÷ (6! × (536)!) = 22,957,480
6! ÷ (6! × (66)!) = 1
47! ÷ (0! × (470)!) = 1

22,957,480 
= 
22,957,480.000 
1 

Calculate:
22,957,480 ÷ (1 × 1) = 22,957,480.000


5 Main Numbers

1 in 81,409.504 
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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 53 (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(53,6) = 53! ÷ (6! × (536)!)
C(6,5) = 6! ÷ (5! × (65)!)
C(536,65) = 47! ÷ (1! × (471)!)
! means 'Factorial' eg: 53! = 53 × 52 × 51 ... × 1
Note: 0! = 1


Simplify:
53! ÷ (6! × (536)!) = 22,957,480
6! ÷ (5! × (65)!) = 6
47! ÷ (1! × (471)!) = 47

22,957,480 
= 
81,409.504 
282 

Calculate:
22,957,480 ÷ (6 × 47) = 81,409.504


4 Main Numbers

1 in 1,415.817 
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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 53 (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(53,6) = 53! ÷ (6! × (536)!)
C(6,4) = 6! ÷ (4! × (64)!)
C(536,64) = 47! ÷ (2! × (472)!)
! means 'Factorial' eg: 53! = 53 × 52 × 51 ... × 1
Note: 0! = 1


Simplify:
53! ÷ (6! × (536)!) = 22,957,480
6! ÷ (4! × (64)!) = 15
47! ÷ (2! × (472)!) = 1,081

22,957,480 
= 
1,415.817 
16,215 

Calculate:
22,957,480 ÷ (15 × 1,081) = 1,415.817


3 Main Numbers

1 in 70.791 
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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 53 (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(53,6) = 53! ÷ (6! × (536)!)
C(6,3) = 6! ÷ (3! × (63)!)
C(536,63) = 47! ÷ (3! × (473)!)
! means 'Factorial' eg: 53! = 53 × 52 × 51 ... × 1
Note: 0! = 1


Simplify:
53! ÷ (6! × (536)!) = 22,957,480
6! ÷ (3! × (63)!) = 20
47! ÷ (3! × (473)!) = 16,215

22,957,480 
= 
70.791 
324,300 

Calculate:
22,957,480 ÷ (20 × 16,215) = 70.791


2 Main Numbers

1 in 8.581 
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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 53 (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(53,6) = 53! ÷ (6! × (536)!)
C(6,2) = 6! ÷ (2! × (62)!)
C(536,62) = 47! ÷ (4! × (474)!)
! means 'Factorial' eg: 53! = 53 × 52 × 51 ... × 1
Note: 0! = 1


Simplify:
53! ÷ (6! × (536)!) = 22,957,480
6! ÷ (2! × (62)!) = 15
47! ÷ (4! × (474)!) = 178,365

22,957,480 
= 
8.581 
2,675,475 

Calculate:
22,957,480 ÷ (15 × 178,365) = 8.581


Overall Odds: 1 in 7.611 