5 Main Numbers + Mega Ball (Jackpot)

1 in 258,890,850.000 
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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 (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
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 75 (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 15 (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(75,5) = 75! ÷ (5! × (755)!)
C(5,5) = 5! ÷ (5! × (55)!)
C(755,55) = 70! ÷ (0! × (700)!)
C(15,1) = 15! ÷ (1! × (151)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(151,11) = 14! ÷ (0! × (140)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1


Simplify:
75! ÷ (5! × (755)!) = 17,259,390
5! ÷ (5! × (55)!) = 1
70! ÷ (0! × (700)!) = 1
15! ÷ (1! × (151)!) = 15
1! ÷ (1! × (11)!) = 1
14! ÷ (0! × (140)!) = 1

258,890,850 
= 
258,890,850.000 
1 

Calculate:
(17,259,390 ÷ 1) × (15 ÷ 1) = 258,890,850.000


5 Main Numbers

1 in 18,492,203.571 
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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 (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
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 75 (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 15 (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(75,5) = 75! ÷ (5! × (755)!)
C(5,5) = 5! ÷ (5! × (55)!)
C(755,55) = 70! ÷ (0! × (700)!)
C(15,1) = 15! ÷ (1! × (151)!)
C(1,0) = 1! ÷ (0! × (10)!)
C(151,10) = 14! ÷ (1! × (141)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1


Simplify:
75! ÷ (5! × (755)!) = 17,259,390
5! ÷ (5! × (55)!) = 1
70! ÷ (0! × (700)!) = 1
15! ÷ (1! × (151)!) = 15
1! ÷ (0! × (10)!) = 1
14! ÷ (1! × (141)!) = 14

258,890,850 
= 
18,492,203.571 
14 

Calculate:
(17,259,390 ÷ 1) × (15 ÷ 14) = 18,492,203.571


4 Main Numbers + Mega Ball

1 in 739,688.143 
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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 (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
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 75 (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 15 (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(75,5) = 75! ÷ (5! × (755)!)
C(5,4) = 5! ÷ (4! × (54)!)
C(755,54) = 70! ÷ (1! × (701)!)
C(15,1) = 15! ÷ (1! × (151)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(151,11) = 14! ÷ (0! × (140)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1


Simplify:
75! ÷ (5! × (755)!) = 17,259,390
5! ÷ (4! × (54)!) = 5
70! ÷ (1! × (701)!) = 70
15! ÷ (1! × (151)!) = 15
1! ÷ (1! × (11)!) = 1
14! ÷ (0! × (140)!) = 1

258,890,850 
= 
739,688.143 
350 

Calculate:
(17,259,390 ÷ 350) × (15 ÷ 1) = 739,688.143


4 Main Numbers

1 in 52,834.867 
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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 (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
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 75 (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 15 (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(75,5) = 75! ÷ (5! × (755)!)
C(5,4) = 5! ÷ (4! × (54)!)
C(755,54) = 70! ÷ (1! × (701)!)
C(15,1) = 15! ÷ (1! × (151)!)
C(1,0) = 1! ÷ (0! × (10)!)
C(151,10) = 14! ÷ (1! × (141)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1


Simplify:
75! ÷ (5! × (755)!) = 17,259,390
5! ÷ (4! × (54)!) = 5
70! ÷ (1! × (701)!) = 70
15! ÷ (1! × (151)!) = 15
1! ÷ (0! × (10)!) = 1
14! ÷ (1! × (141)!) = 14

258,890,850 
= 
52,834.867 
4,900 

Calculate:
(17,259,390 ÷ 350) × (15 ÷ 14) = 52,834.867


3 Main Numbers + Mega Ball

1 in 10,720.118 
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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 (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
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 75 (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 15 (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(75,5) = 75! ÷ (5! × (755)!)
C(5,3) = 5! ÷ (3! × (53)!)
C(755,53) = 70! ÷ (2! × (702)!)
C(15,1) = 15! ÷ (1! × (151)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(151,11) = 14! ÷ (0! × (140)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1


Simplify:
75! ÷ (5! × (755)!) = 17,259,390
5! ÷ (3! × (53)!) = 10
70! ÷ (2! × (702)!) = 2,415
15! ÷ (1! × (151)!) = 15
1! ÷ (1! × (11)!) = 1
14! ÷ (0! × (140)!) = 1

258,890,850 
= 
10,720.118 
24,150 

Calculate:
(17,259,390 ÷ 24,150) × (15 ÷ 1) = 10,720.118


3 Main Numbers

1 in 765.723 
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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 (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
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 75 (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 15 (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(75,5) = 75! ÷ (5! × (755)!)
C(5,3) = 5! ÷ (3! × (53)!)
C(755,53) = 70! ÷ (2! × (702)!)
C(15,1) = 15! ÷ (1! × (151)!)
C(1,0) = 1! ÷ (0! × (10)!)
C(151,10) = 14! ÷ (1! × (141)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1


Simplify:
75! ÷ (5! × (755)!) = 17,259,390
5! ÷ (3! × (53)!) = 10
70! ÷ (2! × (702)!) = 2,415
15! ÷ (1! × (151)!) = 15
1! ÷ (0! × (10)!) = 1
14! ÷ (1! × (141)!) = 14

258,890,850 
= 
765.723 
338,100 

Calculate:
(17,259,390 ÷ 24,150) × (15 ÷ 14) = 765.723


2 Main Numbers + Mega Ball

1 in 472.946 
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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 (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
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 75 (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 15 (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(75,5) = 75! ÷ (5! × (755)!)
C(5,2) = 5! ÷ (2! × (52)!)
C(755,52) = 70! ÷ (3! × (703)!)
C(15,1) = 15! ÷ (1! × (151)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(151,11) = 14! ÷ (0! × (140)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1


Simplify:
75! ÷ (5! × (755)!) = 17,259,390
5! ÷ (2! × (52)!) = 10
70! ÷ (3! × (703)!) = 54,740
15! ÷ (1! × (151)!) = 15
1! ÷ (1! × (11)!) = 1
14! ÷ (0! × (140)!) = 1

258,890,850 
= 
472.946 
547,400 

Calculate:
(17,259,390 ÷ 547,400) × (15 ÷ 1) = 472.946


1 Main Numbers + Mega Ball

1 in 56.471 
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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 (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
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 75 (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 15 (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(75,5) = 75! ÷ (5! × (755)!)
C(5,1) = 5! ÷ (1! × (51)!)
C(755,51) = 70! ÷ (4! × (704)!)
C(15,1) = 15! ÷ (1! × (151)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(151,11) = 14! ÷ (0! × (140)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1


Simplify:
75! ÷ (5! × (755)!) = 17,259,390
5! ÷ (1! × (51)!) = 5
70! ÷ (4! × (704)!) = 916,895
15! ÷ (1! × (151)!) = 15
1! ÷ (1! × (11)!) = 1
14! ÷ (0! × (140)!) = 1

258,890,850 
= 
56.471 
4,584,475 

Calculate:
(17,259,390 ÷ 4,584,475) × (15 ÷ 1) = 56.471


Mega Ball Only

1 in 21.391 
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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 75 (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 15 (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(75,5) = 75! ÷ (5! × (755)!)
C(5,0) = 5! ÷ (0! × (50)!)
C(755,50) = 70! ÷ (5! × (705)!)
C(15,1) = 15! ÷ (1! × (151)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(151,11) = 14! ÷ (0! × (140)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1

17,259,390 
1 
× 
12,103,014 

× 


Simplify:
75! ÷ (5! × (755)!) = 17,259,390
5! ÷ (0! × (50)!) = 1
70! ÷ (5! × (705)!) = 12,103,014
15! ÷ (1! × (151)!) = 15
1! ÷ (1! × (11)!) = 1
14! ÷ (0! × (140)!) = 1

258,890,850 
= 
21.391 
12,103,014 

Calculate:
(17,259,390 ÷ 12,103,014) × (15 ÷ 1) = 21.391


Overall Odds: 1 in 14.708 