5 Main Numbers + Mega Ball (Jackpot)

1 in 41,416,353.000 
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The odds for this prize level are directly influenced by the Mega Ball. Therefore the variables associated with the main ball pool and those associated with the separate Mega Ball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


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
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 47 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 5 (balls to be matched from the main pool)
t for 27 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)


Expand:
C(47,5) = 47! ÷ (5! × (475)!)
C(5,5) = 5! ÷ (5! × (55)!)
C(475,55) = 42! ÷ (0! × (420)!)
C(27,1) = 27! ÷ (1! × (271)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(271,11) = 26! ÷ (0! × (260)!)
! means 'Factorial' eg: 47! = 47 × 46 × 45 ... × 1
Note: 0! = 1


Simplify:
47! ÷ (5! × (475)!) = 1,533,939
5! ÷ (5! × (55)!) = 1
42! ÷ (0! × (420)!) = 1
27! ÷ (1! × (271)!) = 27
1! ÷ (1! × (11)!) = 1
26! ÷ (0! × (260)!) = 1

41,416,353 
= 
41,416,353.000 
1 

Calculate:
(1,533,939 ÷ 1) × (27 ÷ 1) = 41,416,353.000


5 Main Numbers

1 in 1,592,936.654 
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The odds for this prize level are indirectly influenced by the Mega Ball. Even though this prize level only involves matching 5 main numbers, the fact that you can also match 5 main numbers and a Mega Ball means the odds of matching 5 main numbers alone are increased. Therefore the variables associated with the main ball pool and those associated with the separate Mega Ball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


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
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 47 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 5 (balls to be matched from the main pool)
t for 27 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 0 (balls to be matched from the bonus pool)


Expand:
C(47,5) = 47! ÷ (5! × (475)!)
C(5,5) = 5! ÷ (5! × (55)!)
C(475,55) = 42! ÷ (0! × (420)!)
C(27,1) = 27! ÷ (1! × (271)!)
C(1,0) = 1! ÷ (0! × (10)!)
C(271,10) = 26! ÷ (1! × (261)!)
! means 'Factorial' eg: 47! = 47 × 46 × 45 ... × 1
Note: 0! = 1


Simplify:
47! ÷ (5! × (475)!) = 1,533,939
5! ÷ (5! × (55)!) = 1
42! ÷ (0! × (420)!) = 1
27! ÷ (1! × (271)!) = 27
1! ÷ (0! × (10)!) = 1
26! ÷ (1! × (261)!) = 26

41,416,353 
= 
1,592,936.654 
26 

Calculate:
(1,533,939 ÷ 1) × (27 ÷ 26) = 1,592,936.654


4 Main Numbers + Mega Ball

1 in 197,220.729 
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The odds for this prize level are directly influenced by the Mega Ball. Therefore the variables associated with the main ball pool and those associated with the separate Mega Ball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


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
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 47 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 4 (balls to be matched from the main pool)
t for 27 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)


Expand:
C(47,5) = 47! ÷ (5! × (475)!)
C(5,4) = 5! ÷ (4! × (54)!)
C(475,54) = 42! ÷ (1! × (421)!)
C(27,1) = 27! ÷ (1! × (271)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(271,11) = 26! ÷ (0! × (260)!)
! means 'Factorial' eg: 47! = 47 × 46 × 45 ... × 1
Note: 0! = 1


Simplify:
47! ÷ (5! × (475)!) = 1,533,939
5! ÷ (4! × (54)!) = 5
42! ÷ (1! × (421)!) = 42
27! ÷ (1! × (271)!) = 27
1! ÷ (1! × (11)!) = 1
26! ÷ (0! × (260)!) = 1

41,416,353 
= 
197,220.729 
210 

Calculate:
(1,533,939 ÷ 210) × (27 ÷ 1) = 197,220.729


4 Main Numbers

1 in 7,585.413 
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The odds for this prize level are indirectly influenced by the Mega Ball. Even though this prize level only involves matching 4 main numbers, the fact that you can also match 4 main numbers and a Mega Ball means the odds of matching 4 main numbers alone are increased. Therefore the variables associated with the main ball pool and those associated with the separate Mega Ball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


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
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 47 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 4 (balls to be matched from the main pool)
t for 27 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 0 (balls to be matched from the bonus pool)


Expand:
C(47,5) = 47! ÷ (5! × (475)!)
C(5,4) = 5! ÷ (4! × (54)!)
C(475,54) = 42! ÷ (1! × (421)!)
C(27,1) = 27! ÷ (1! × (271)!)
C(1,0) = 1! ÷ (0! × (10)!)
C(271,10) = 26! ÷ (1! × (261)!)
! means 'Factorial' eg: 47! = 47 × 46 × 45 ... × 1
Note: 0! = 1


Simplify:
47! ÷ (5! × (475)!) = 1,533,939
5! ÷ (4! × (54)!) = 5
42! ÷ (1! × (421)!) = 42
27! ÷ (1! × (271)!) = 27
1! ÷ (0! × (10)!) = 1
26! ÷ (1! × (261)!) = 26

41,416,353 
= 
7,585.413 
5,460 

Calculate:
(1,533,939 ÷ 210) × (27 ÷ 26) = 7,585.413


3 Main Numbers + Mega Ball

1 in 4,810.262 
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The odds for this prize level are directly influenced by the Mega Ball. Therefore the variables associated with the main ball pool and those associated with the separate Mega Ball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


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
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 47 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 3 (balls to be matched from the main pool)
t for 27 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)


Expand:
C(47,5) = 47! ÷ (5! × (475)!)
C(5,3) = 5! ÷ (3! × (53)!)
C(475,53) = 42! ÷ (2! × (422)!)
C(27,1) = 27! ÷ (1! × (271)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(271,11) = 26! ÷ (0! × (260)!)
! means 'Factorial' eg: 47! = 47 × 46 × 45 ... × 1
Note: 0! = 1


Simplify:
47! ÷ (5! × (475)!) = 1,533,939
5! ÷ (3! × (53)!) = 10
42! ÷ (2! × (422)!) = 861
27! ÷ (1! × (271)!) = 27
1! ÷ (1! × (11)!) = 1
26! ÷ (0! × (260)!) = 1

41,416,353 
= 
4,810.262 
8,610 

Calculate:
(1,533,939 ÷ 8,610) × (27 ÷ 1) = 4,810.262


3 Main Numbers

1 in 185.010 
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The odds for this prize level are indirectly influenced by the Mega Ball. Even though this prize level only involves matching 3 main numbers, the fact that you can also match 3 main numbers and a Mega Ball means the odds of matching 3 main numbers alone are increased. Therefore the variables associated with the main ball pool and those associated with the separate Mega Ball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


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
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 47 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 3 (balls to be matched from the main pool)
t for 27 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 0 (balls to be matched from the bonus pool)


Expand:
C(47,5) = 47! ÷ (5! × (475)!)
C(5,3) = 5! ÷ (3! × (53)!)
C(475,53) = 42! ÷ (2! × (422)!)
C(27,1) = 27! ÷ (1! × (271)!)
C(1,0) = 1! ÷ (0! × (10)!)
C(271,10) = 26! ÷ (1! × (261)!)
! means 'Factorial' eg: 47! = 47 × 46 × 45 ... × 1
Note: 0! = 1


Simplify:
47! ÷ (5! × (475)!) = 1,533,939
5! ÷ (3! × (53)!) = 10
42! ÷ (2! × (422)!) = 861
27! ÷ (1! × (271)!) = 27
1! ÷ (0! × (10)!) = 1
26! ÷ (1! × (261)!) = 26

41,416,353 
= 
185.010 
223,860 

Calculate:
(1,533,939 ÷ 8,610) × (27 ÷ 26) = 185.010


2 Main Numbers + Mega Ball

1 in 360.770 
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The odds for this prize level are directly influenced by the Mega Ball. Therefore the variables associated with the main ball pool and those associated with the separate Mega Ball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


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
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 47 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 2 (balls to be matched from the main pool)
t for 27 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)


Expand:
C(47,5) = 47! ÷ (5! × (475)!)
C(5,2) = 5! ÷ (2! × (52)!)
C(475,52) = 42! ÷ (3! × (423)!)
C(27,1) = 27! ÷ (1! × (271)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(271,11) = 26! ÷ (0! × (260)!)
! means 'Factorial' eg: 47! = 47 × 46 × 45 ... × 1
Note: 0! = 1


Simplify:
47! ÷ (5! × (475)!) = 1,533,939
5! ÷ (2! × (52)!) = 10
42! ÷ (3! × (423)!) = 11,480
27! ÷ (1! × (271)!) = 27
1! ÷ (1! × (11)!) = 1
26! ÷ (0! × (260)!) = 1

41,416,353 
= 
360.770 
114,800 

Calculate:
(1,533,939 ÷ 114,800) × (27 ÷ 1) = 360.770


1 Main Numbers + Mega Ball

1 in 74.004 
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The odds for this prize level are directly influenced by the Mega Ball. Therefore the variables associated with the main ball pool and those associated with the separate Mega Ball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


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
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 47 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 1 (balls to be matched from the main pool)
t for 27 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)


Expand:
C(47,5) = 47! ÷ (5! × (475)!)
C(5,1) = 5! ÷ (1! × (51)!)
C(475,51) = 42! ÷ (4! × (424)!)
C(27,1) = 27! ÷ (1! × (271)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(271,11) = 26! ÷ (0! × (260)!)
! means 'Factorial' eg: 47! = 47 × 46 × 45 ... × 1
Note: 0! = 1


Simplify:
47! ÷ (5! × (475)!) = 1,533,939
5! ÷ (1! × (51)!) = 5
42! ÷ (4! × (424)!) = 111,930
27! ÷ (1! × (271)!) = 27
1! ÷ (1! × (11)!) = 1
26! ÷ (0! × (260)!) = 1

41,416,353 
= 
74.004 
559,650 

Calculate:
(1,533,939 ÷ 559,650) × (27 ÷ 1) = 74.004


Mega Ball Only

1 in 48.687 
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Although this prize level involves matching the Mega Ball only (drawn from a separate ball pool), the main balls must still be taken into account since the Mega Ball can also be matched with a selection of main numbers, thereby increasing the odds of matching the Mega Ball alone.


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
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 47 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 0 (balls to be matched from the main pool)
t for 27 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)


Expand:
C(47,5) = 47! ÷ (5! × (475)!)
C(5,0) = 5! ÷ (0! × (50)!)
C(475,50) = 42! ÷ (5! × (425)!)
C(27,1) = 27! ÷ (1! × (271)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(271,11) = 26! ÷ (0! × (260)!)
! means 'Factorial' eg: 47! = 47 × 46 × 45 ... × 1
Note: 0! = 1


Simplify:
47! ÷ (5! × (475)!) = 1,533,939
5! ÷ (0! × (50)!) = 1
42! ÷ (5! × (425)!) = 850,668
27! ÷ (1! × (271)!) = 27
1! ÷ (1! × (11)!) = 1
26! ÷ (0! × (260)!) = 1

41,416,353 
= 
48.687 
850,668 

Calculate:
(1,533,939 ÷ 850,668) × (27 ÷ 1) = 48.687


Overall Odds: 1 in 23.488 