# Mega Millions Odds Calculator

› Mega Millions

## Calculate Lotto Odds Round Odds:

 Balls to be drawn: Total number of prize levels: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 From a pool of: Tick to include bonus balls: Bonus balls to be drawn: Prize levels that involvematching a bonus ball: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 From the remaining: From a separate pool of: Bonus ball name: Bonus Ball Cash Ball Extra Ball Euro Number Free Ball Hot Ball Jolly Ball Lucky Ball Lucky Star Mega Ball Plus Ball Powerball Super Ball Thunderball Extra Shot Odds for Popular Lotteries: ---- Choose a Lottery ---- Australia Set For Life California SuperLotto Plus EuroMillions Eurojackpot Florida Lotto Irish Lotto Mega Millions Powerball South Africa Lotto South Africa Lotto Plus South Africa Powerball South Africa Powerball Plus SuperEnalotto UK Health Lottery UK Lotto

Calculated Odds
Numbers Matched Odds Show Working Out +
5 Main Numbers + Mega Ball (Jackpot) 1 in 258,890,850.000 Show/Hide ›

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)
 C(r,m)
×
 C(n-r,r-m)
×
 C(t,b)
 C(b,d)
×
 C(t-b,b-d)
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
 C(75,5)
 C(5,5)
×
 C(75-5,5-5)
×
 C(15,1)
 C(1,1)
×
 C(15-1,1-1)
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)
 75! 5! × (75 - 5)!
 5! 5! × (5 - 5)!
×
 70! 0! × (70 - 0)!
×
 15! 1! × (15 - 1)!
 1! 1! × (1 - 1)!
×
 14! 0! × (14 - 0)!
Expand:
C(75,5) = 75! ÷ (5! × (75-5)!)
C(5,5) = 5! ÷ (5! × (5-5)!)
C(75-5,5-5) = 70! ÷ (0! × (70-0)!)
C(15,1) = 15! ÷ (1! × (15-1)!)
C(1,1) = 1! ÷ (1! × (1-1)!)
C(15-1,1-1) = 14! ÷ (0! × (14-0)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1
 17,259,390 1 × 1
×
 15 1 × 1
Simplify:
75! ÷ (5! × (75-5)!) = 17,259,390
5! ÷ (5! × (5-5)!) = 1
70! ÷ (0! × (70-0)!) = 1
15! ÷ (1! × (15-1)!) = 15
1! ÷ (1! × (1-1)!) = 1
14! ÷ (0! × (14-0)!) = 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 Show/Hide ›

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)
 C(r,m)
×
 C(n-r,r-m)
×
 C(t,b)
 C(b,d)
×
 C(t-b,b-d)
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
 C(75,5)
 C(5,5)
×
 C(75-5,5-5)
×
 C(15,1)
 C(1,0)
×
 C(15-1,1-0)
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)
 75! 5! × (75 - 5)!
 5! 5! × (5 - 5)!
×
 70! 0! × (70 - 0)!
×
 15! 1! × (15 - 1)!
 1! 0! × (1 - 0)!
×
 14! 1! × (14 - 1)!
Expand:
C(75,5) = 75! ÷ (5! × (75-5)!)
C(5,5) = 5! ÷ (5! × (5-5)!)
C(75-5,5-5) = 70! ÷ (0! × (70-0)!)
C(15,1) = 15! ÷ (1! × (15-1)!)
C(1,0) = 1! ÷ (0! × (1-0)!)
C(15-1,1-0) = 14! ÷ (1! × (14-1)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1
 17,259,390 1 × 1
×
 15 1 × 14
Simplify:
75! ÷ (5! × (75-5)!) = 17,259,390
5! ÷ (5! × (5-5)!) = 1
70! ÷ (0! × (70-0)!) = 1
15! ÷ (1! × (15-1)!) = 15
1! ÷ (0! × (1-0)!) = 1
14! ÷ (1! × (14-1)!) = 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 Show/Hide ›

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)
 C(r,m)
×
 C(n-r,r-m)
×
 C(t,b)
 C(b,d)
×
 C(t-b,b-d)
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
 C(75,5)
 C(5,4)
×
 C(75-5,5-4)
×
 C(15,1)
 C(1,1)
×
 C(15-1,1-1)
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)
 75! 5! × (75 - 5)!
 5! 4! × (5 - 4)!
×
 70! 1! × (70 - 1)!
×
 15! 1! × (15 - 1)!
 1! 1! × (1 - 1)!
×
 14! 0! × (14 - 0)!
Expand:
C(75,5) = 75! ÷ (5! × (75-5)!)
C(5,4) = 5! ÷ (4! × (5-4)!)
C(75-5,5-4) = 70! ÷ (1! × (70-1)!)
C(15,1) = 15! ÷ (1! × (15-1)!)
C(1,1) = 1! ÷ (1! × (1-1)!)
C(15-1,1-1) = 14! ÷ (0! × (14-0)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1
 17,259,390 5 × 70
×
 15 1 × 1
Simplify:
75! ÷ (5! × (75-5)!) = 17,259,390
5! ÷ (4! × (5-4)!) = 5
70! ÷ (1! × (70-1)!) = 70
15! ÷ (1! × (15-1)!) = 15
1! ÷ (1! × (1-1)!) = 1
14! ÷ (0! × (14-0)!) = 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 Show/Hide ›

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)
 C(r,m)
×
 C(n-r,r-m)
×
 C(t,b)
 C(b,d)
×
 C(t-b,b-d)
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
 C(75,5)
 C(5,4)
×
 C(75-5,5-4)
×
 C(15,1)
 C(1,0)
×
 C(15-1,1-0)
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)
 75! 5! × (75 - 5)!
 5! 4! × (5 - 4)!
×
 70! 1! × (70 - 1)!
×
 15! 1! × (15 - 1)!
 1! 0! × (1 - 0)!
×
 14! 1! × (14 - 1)!
Expand:
C(75,5) = 75! ÷ (5! × (75-5)!)
C(5,4) = 5! ÷ (4! × (5-4)!)
C(75-5,5-4) = 70! ÷ (1! × (70-1)!)
C(15,1) = 15! ÷ (1! × (15-1)!)
C(1,0) = 1! ÷ (0! × (1-0)!)
C(15-1,1-0) = 14! ÷ (1! × (14-1)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1
 17,259,390 5 × 70
×
 15 1 × 14
Simplify:
75! ÷ (5! × (75-5)!) = 17,259,390
5! ÷ (4! × (5-4)!) = 5
70! ÷ (1! × (70-1)!) = 70
15! ÷ (1! × (15-1)!) = 15
1! ÷ (0! × (1-0)!) = 1
14! ÷ (1! × (14-1)!) = 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 Show/Hide ›

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)
 C(r,m)
×
 C(n-r,r-m)
×
 C(t,b)
 C(b,d)
×
 C(t-b,b-d)
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
 C(75,5)
 C(5,3)
×
 C(75-5,5-3)
×
 C(15,1)
 C(1,1)
×
 C(15-1,1-1)
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)
 75! 5! × (75 - 5)!
 5! 3! × (5 - 3)!
×
 70! 2! × (70 - 2)!
×
 15! 1! × (15 - 1)!
 1! 1! × (1 - 1)!
×
 14! 0! × (14 - 0)!
Expand:
C(75,5) = 75! ÷ (5! × (75-5)!)
C(5,3) = 5! ÷ (3! × (5-3)!)
C(75-5,5-3) = 70! ÷ (2! × (70-2)!)
C(15,1) = 15! ÷ (1! × (15-1)!)
C(1,1) = 1! ÷ (1! × (1-1)!)
C(15-1,1-1) = 14! ÷ (0! × (14-0)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1
 17,259,390 10 × 2,415
×
 15 1 × 1
Simplify:
75! ÷ (5! × (75-5)!) = 17,259,390
5! ÷ (3! × (5-3)!) = 10
70! ÷ (2! × (70-2)!) = 2,415
15! ÷ (1! × (15-1)!) = 15
1! ÷ (1! × (1-1)!) = 1
14! ÷ (0! × (14-0)!) = 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 Show/Hide ›

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)
 C(r,m)
×
 C(n-r,r-m)
×
 C(t,b)
 C(b,d)
×
 C(t-b,b-d)
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
 C(75,5)
 C(5,3)
×
 C(75-5,5-3)
×
 C(15,1)
 C(1,0)
×
 C(15-1,1-0)
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)
 75! 5! × (75 - 5)!
 5! 3! × (5 - 3)!
×
 70! 2! × (70 - 2)!
×
 15! 1! × (15 - 1)!
 1! 0! × (1 - 0)!
×
 14! 1! × (14 - 1)!
Expand:
C(75,5) = 75! ÷ (5! × (75-5)!)
C(5,3) = 5! ÷ (3! × (5-3)!)
C(75-5,5-3) = 70! ÷ (2! × (70-2)!)
C(15,1) = 15! ÷ (1! × (15-1)!)
C(1,0) = 1! ÷ (0! × (1-0)!)
C(15-1,1-0) = 14! ÷ (1! × (14-1)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1
 17,259,390 10 × 2,415
×
 15 1 × 14
Simplify:
75! ÷ (5! × (75-5)!) = 17,259,390
5! ÷ (3! × (5-3)!) = 10
70! ÷ (2! × (70-2)!) = 2,415
15! ÷ (1! × (15-1)!) = 15
1! ÷ (0! × (1-0)!) = 1
14! ÷ (1! × (14-1)!) = 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 Show/Hide ›

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)
 C(r,m)
×
 C(n-r,r-m)
×
 C(t,b)
 C(b,d)
×
 C(t-b,b-d)
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
 C(75,5)
 C(5,2)
×
 C(75-5,5-2)
×
 C(15,1)
 C(1,1)
×
 C(15-1,1-1)
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)
 75! 5! × (75 - 5)!
 5! 2! × (5 - 2)!
×
 70! 3! × (70 - 3)!
×
 15! 1! × (15 - 1)!
 1! 1! × (1 - 1)!
×
 14! 0! × (14 - 0)!
Expand:
C(75,5) = 75! ÷ (5! × (75-5)!)
C(5,2) = 5! ÷ (2! × (5-2)!)
C(75-5,5-2) = 70! ÷ (3! × (70-3)!)
C(15,1) = 15! ÷ (1! × (15-1)!)
C(1,1) = 1! ÷ (1! × (1-1)!)
C(15-1,1-1) = 14! ÷ (0! × (14-0)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1
 17,259,390 10 × 54,740
×
 15 1 × 1
Simplify:
75! ÷ (5! × (75-5)!) = 17,259,390
5! ÷ (2! × (5-2)!) = 10
70! ÷ (3! × (70-3)!) = 54,740
15! ÷ (1! × (15-1)!) = 15
1! ÷ (1! × (1-1)!) = 1
14! ÷ (0! × (14-0)!) = 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 Show/Hide ›

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)
 C(r,m)
×
 C(n-r,r-m)
×
 C(t,b)
 C(b,d)
×
 C(t-b,b-d)
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
 C(75,5)
 C(5,1)
×
 C(75-5,5-1)
×
 C(15,1)
 C(1,1)
×
 C(15-1,1-1)
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)
 75! 5! × (75 - 5)!
 5! 1! × (5 - 1)!
×
 70! 4! × (70 - 4)!
×
 15! 1! × (15 - 1)!
 1! 1! × (1 - 1)!
×
 14! 0! × (14 - 0)!
Expand:
C(75,5) = 75! ÷ (5! × (75-5)!)
C(5,1) = 5! ÷ (1! × (5-1)!)
C(75-5,5-1) = 70! ÷ (4! × (70-4)!)
C(15,1) = 15! ÷ (1! × (15-1)!)
C(1,1) = 1! ÷ (1! × (1-1)!)
C(15-1,1-1) = 14! ÷ (0! × (14-0)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1
 17,259,390 5 × 916,895
×
 15 1 × 1
Simplify:
75! ÷ (5! × (75-5)!) = 17,259,390
5! ÷ (1! × (5-1)!) = 5
70! ÷ (4! × (70-4)!) = 916,895
15! ÷ (1! × (15-1)!) = 15
1! ÷ (1! × (1-1)!) = 1
14! ÷ (0! × (14-0)!) = 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 Show/Hide ›

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)
 C(r,m)
×
 C(n-r,r-m)
×
 C(t,b)
 C(b,d)
×
 C(t-b,b-d)
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
 C(75,5)
 C(5,0)
×
 C(75-5,5-0)
×
 C(15,1)
 C(1,1)
×
 C(15-1,1-1)
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)
 75! 5! × (75 - 5)!
 5! 0! × (5 - 0)!
×
 70! 5! × (70 - 5)!
×
 15! 1! × (15 - 1)!
 1! 1! × (1 - 1)!
×
 14! 0! × (14 - 0)!
Expand:
C(75,5) = 75! ÷ (5! × (75-5)!)
C(5,0) = 5! ÷ (0! × (5-0)!)
C(75-5,5-0) = 70! ÷ (5! × (70-5)!)
C(15,1) = 15! ÷ (1! × (15-1)!)
C(1,1) = 1! ÷ (1! × (1-1)!)
C(15-1,1-1) = 14! ÷ (0! × (14-0)!)
! means 'Factorial' eg: 75! = 75 × 74 × 73 ... × 1
Note: 0! = 1
 17,259,390 1 × 12,103,014
×
 15 1 × 1
Simplify:
75! ÷ (5! × (75-5)!) = 17,259,390
5! ÷ (0! × (5-0)!) = 1
70! ÷ (5! × (70-5)!) = 12,103,014
15! ÷ (1! × (15-1)!) = 15
1! ÷ (1! × (1-1)!) = 1
14! ÷ (0! × (14-0)!) = 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

Please note, some lotteries have irregular prize levels, therefore the odds calculated may not be 100% accurate.

### How to use the Lotto Odds Calculator

1. Enter the number of balls to be drawn
2. Enter the total number of balls from which these are drawn
3. Choose the total number of prize levels the lottery has, eg: Match 6, Match 5, Match 4 and Match 3 would be 4 levels
4. If the lottery includes 'bonus' numbers eg: a Powerball, tick the "include bonus balls" box
5. If the box has been ticked, a dropdown menu will appear in a similar style to the original fields. Enter the number of 'bonus' numbers to be drawn, the size of the pool it/they are drawn from, and the amount of prize levels that involve matching the bonus number. Finally, select the name of the bonus number from the remaining dropdown box
6. Click the "Calculate Odds" button to view the odds, or to start again, click Reset.

Alternatively you can choose a lottery from the "Popular Lotteries" dropdown menu at the bottom of the form to quickly input the variables for your chosen lottery and auto-display the odds table.

Tuesday 30th May
€139,000,000
Pick Numbers
Close ×