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Odds of Winning EuroMillions

EuroMillions offers 13 different prize tiers, and the estimated jackpot is published prior to the draw. The exact value of prizes in each tier, including the jackpot*, is calculated according to how many tickets are sold in a particular draw and how many winning tickets there are in any given prize tier.

Players must pick 5 balls from a pool of 50 main numbers and 2 Lucky Stars from a separate pool of 12 numbers. Please note, calculations and odds in the table below have been rounded to the nearest whole number.

Prize Tier Odds of Winning Average Prize Show Formulae
Match 5 + 2 Lucky Stars 1 in 139,838,160 €47,561,465.66 Show/Hide ›

Odds for this prize level are directly influenced by the Lucky Stars. Therefore the variables associated with the main ball pool and those associated with the separate Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,5)
×
C(50-5,5-5)
×
C(12,2)
C(2,2)
×
C(12-2,2-2)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 2 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
5! × (5 - 5)!
×
45!
0! × (45 - 0)!
×
12!
2! × (12 - 2)!
2!
2! × (2 - 2)!
×
10!
0! × (10 - 0)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,5) = 5! ÷ (5! × (5-5)!)
C(50-5,5-5) = 45! ÷ (0! × (45-0)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,2) = 2! ÷ (2! × (2-2)!)
C(12-2,2-2) = 10! ÷ (0! × (10-0)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
1 × 1
×
66
1 × 1
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (5! × (5-5)!) = 1
45! ÷ (0! × (45-0)!) = 1
12! ÷ (2! × (12-2)!) = 66
2! ÷ (2! × (2-2)!) = 1
10! ÷ (0! × (10-0)!) = 1
139,838,160 = 139,838,160
1
Calculate:
(2,118,760 ÷ 1) × (66 ÷ 1) = 139,838,160
Match 5 + 1 Lucky Star 1 in 6,991,908 €454,575.49 Show/Hide ›

Odds for this prize level are directly influenced by the Lucky Stars. Therefore the variables associated with the main ball pool and those associated with the separate Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,5)
×
C(50-5,5-5)
×
C(12,2)
C(2,1)
×
C(12-2,2-1)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
5! × (5 - 5)!
×
45!
0! × (45 - 0)!
×
12!
2! × (12 - 2)!
2!
1! × (2 - 1)!
×
10!
1! × (10 - 1)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,5) = 5! ÷ (5! × (5-5)!)
C(50-5,5-5) = 45! ÷ (0! × (45-0)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,1) = 2! ÷ (1! × (2-1)!)
C(12-2,2-1) = 10! ÷ (1! × (10-1)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
1 × 1
×
66
2 × 10
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (5! × (5-5)!) = 1
45! ÷ (0! × (45-0)!) = 1
12! ÷ (2! × (12-2)!) = 66
2! ÷ (1! × (2-1)!) = 2
10! ÷ (1! × (10-1)!) = 10
139,838,160 = 6,991,908
20
Calculate:
(2,118,760 ÷ 1) × (66 ÷ 20) = 6,991,908
Match 5 1 in 3,107,515 €78,323.08 Show/Hide ›

Odds for this prize level are indirectly influenced by the Lucky Stars. While this prize level only involves matching 5 main numbers, the fact that you can also match 5 main numbers and a Lucky Star 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 Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,5)
×
C(50-5,5-5)
×
C(12,2)
C(2,0)
×
C(12-2,2-0)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 0 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
5! × (5 - 5)!
×
45!
0! × (45 - 0)!
×
12!
2! × (12 - 2)!
2!
0! × (2 - 0)!
×
10!
2! × (10 - 2)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,5) = 5! ÷ (5! × (5-5)!)
C(50-5,5-5) = 45! ÷ (0! × (45-0)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,0) = 2! ÷ (0! × (2-0)!)
C(12-2,2-0) = 10! ÷ (2! × (10-2)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
1 × 1
×
66
1 × 45
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (5! × (5-5)!) = 1
45! ÷ (0! × (45-0)!) = 1
12! ÷ (2! × (12-2)!) = 66
2! ÷ (0! × (2-0)!) = 1
10! ÷ (2! × (10-2)!) = 45
139,838,160 = 3,107,515
45
Calculate:
(2,118,760 ÷ 1) × (66 ÷ 45) = 3,107,515
Match 4 + 2 Lucky Stars 1 in 621,503 €4,503.25 Show/Hide ›

Odds for this prize level are directly influenced by the Lucky Stars. Therefore the variables associated with the main ball pool and those associated with the separate Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,4)
×
C(50-5,5-4)
×
C(12,2)
C(2,2)
×
C(12-2,2-2)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 2 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
4! × (5 - 4)!
×
45!
1! × (45 - 1)!
×
12!
2! × (12 - 2)!
2!
2! × (2 - 2)!
×
10!
0! × (10 - 0)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,4) = 5! ÷ (4! × (5-4)!)
C(50-5,5-4) = 45! ÷ (1! × (45-1)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,2) = 2! ÷ (2! × (2-2)!)
C(12-2,2-2) = 10! ÷ (0! × (10-0)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
5 × 45
×
66
1 × 1
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (4! × (5-4)!) = 5
45! ÷ (1! × (45-1)!) = 45
12! ÷ (2! × (12-2)!) = 66
2! ÷ (2! × (2-2)!) = 1
10! ÷ (0! × (10-0)!) = 1
139,838,160 = 621,503
225
Calculate:
(2,118,760 ÷ 225) × (66 ÷ 1) = 621,503
Match 4 + 1 Lucky Star 1 in 31,075 €204.08 Show/Hide ›

Odds for this prize level are directly influenced by the Lucky Stars. Therefore the variables associated with the main ball pool and those associated with the separate Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,4)
×
C(50-5,5-4)
×
C(12,2)
C(2,1)
×
C(12-2,2-1)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
4! × (5 - 4)!
×
45!
1! × (45 - 1)!
×
12!
2! × (12 - 2)!
2!
1! × (2 - 1)!
×
10!
1! × (10 - 1)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,4) = 5! ÷ (4! × (5-4)!)
C(50-5,5-4) = 45! ÷ (1! × (45-1)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,1) = 2! ÷ (1! × (2-1)!)
C(12-2,2-1) = 10! ÷ (1! × (10-1)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
5 × 45
×
66
2 × 10
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (4! × (5-4)!) = 5
45! ÷ (1! × (45-1)!) = 45
12! ÷ (2! × (12-2)!) = 66
2! ÷ (1! × (2-1)!) = 2
10! ÷ (1! × (10-1)!) = 10
139,838,160 = 31,075
4,500
Calculate:
(2,118,760 ÷ 225) × (66 ÷ 20) = 31,075
Match 4 1 in 13,811 €96.91 Show/Hide ›

Odds for this prize level are indirectly influenced by the Lucky Stars. While this prize level only involves matching 4 main numbers, the fact that you can also match 4 main numbers and a Lucky Star 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 Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,4)
×
C(50-5,5-4)
×
C(12,2)
C(2,0)
×
C(12-2,2-0)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 0 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
4! × (5 - 4)!
×
45!
1! × (45 - 1)!
×
12!
2! × (12 - 2)!
2!
0! × (2 - 0)!
×
10!
2! × (10 - 2)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,4) = 5! ÷ (4! × (5-4)!)
C(50-5,5-4) = 45! ÷ (1! × (45-1)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,0) = 2! ÷ (0! × (2-0)!)
C(12-2,2-0) = 10! ÷ (2! × (10-2)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
5 × 45
×
66
1 × 45
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (4! × (5-4)!) = 5
45! ÷ (1! × (45-1)!) = 45
12! ÷ (2! × (12-2)!) = 66
2! ÷ (0! × (2-0)!) = 1
10! ÷ (2! × (10-2)!) = 45
139,838,160 = 13,811
10,125
Calculate:
(2,118,760 ÷ 225) × (66 ÷ 45) = 13,811
Match 3 + 2 Lucky Stars 1 in 14,125 €71.23 Show/Hide ›

Odds for this prize level are directly influenced by the Lucky Stars. Therefore the variables associated with the main ball pool and those associated with the separate Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,3)
×
C(50-5,5-3)
×
C(12,2)
C(2,2)
×
C(12-2,2-2)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 2 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
3! × (5 - 3)!
×
45!
2! × (45 - 2)!
×
12!
2! × (12 - 2)!
2!
2! × (2 - 2)!
×
10!
0! × (10 - 0)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,3) = 5! ÷ (3! × (5-3)!)
C(50-5,5-3) = 45! ÷ (2! × (45-2)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,2) = 2! ÷ (2! × (2-2)!)
C(12-2,2-2) = 10! ÷ (0! × (10-0)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
10 × 990
×
66
1 × 1
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (3! × (5-3)!) = 10
45! ÷ (2! × (45-2)!) = 990
12! ÷ (2! × (12-2)!) = 66
2! ÷ (2! × (2-2)!) = 1
10! ÷ (0! × (10-0)!) = 1
139,838,160 = 14,125
9,900
Calculate:
(2,118,760 ÷ 9,900) × (66 ÷ 1) = 14,125
Match 3 + 1 Lucky Star 1 in 706 €14.63 Show/Hide ›

Odds for this prize level are directly influenced by the Lucky Stars. Therefore the variables associated with the main ball pool and those associated with the separate Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,3)
×
C(50-5,5-3)
×
C(12,2)
C(2,1)
×
C(12-2,2-1)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
3! × (5 - 3)!
×
45!
2! × (45 - 2)!
×
12!
2! × (12 - 2)!
2!
1! × (2 - 1)!
×
10!
1! × (10 - 1)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,3) = 5! ÷ (3! × (5-3)!)
C(50-5,5-3) = 45! ÷ (2! × (45-2)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,1) = 2! ÷ (1! × (2-1)!)
C(12-2,2-1) = 10! ÷ (1! × (10-1)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
10 × 990
×
66
2 × 10
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (3! × (5-3)!) = 10
45! ÷ (2! × (45-2)!) = 990
12! ÷ (2! × (12-2)!) = 66
2! ÷ (1! × (2-1)!) = 2
10! ÷ (1! × (10-1)!) = 10
139,838,160 = 706
198,000
Calculate:
(2,118,760 ÷ 9,900) × (66 ÷ 20) = 706
Match 3 1 in 314 €12.20 Show/Hide ›

Odds for this prize level are indirectly influenced by the Lucky Stars. While this prize level only involves matching 3 main numbers, the fact that you can also match 3 main numbers and a Lucky Star 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 Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,3)
×
C(50-5,5-3)
×
C(12,2)
C(2,0)
×
C(12-2,2-0)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 0 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
3! × (5 - 3)!
×
45!
2! × (45 - 2)!
×
12!
2! × (12 - 2)!
2!
0! × (2 - 0)!
×
10!
2! × (10 - 2)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,3) = 5! ÷ (3! × (5-3)!)
C(50-5,5-3) = 45! ÷ (2! × (45-2)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,0) = 2! ÷ (0! × (2-0)!)
C(12-2,2-0) = 10! ÷ (2! × (10-2)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
10 × 990
×
66
1 × 45
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (3! × (5-3)!) = 10
45! ÷ (2! × (45-2)!) = 990
12! ÷ (2! × (12-2)!) = 66
2! ÷ (0! × (2-0)!) = 1
10! ÷ (2! × (10-2)!) = 45
139,838,160 = 314
445,500
Calculate:
(2,118,760 ÷ 9,900) × (66 ÷ 45) = 314
Match 2 + 2 Lucky Stars 1 in 985 €19.93 Show/Hide ›

Odds for this prize level are directly influenced by the Lucky Stars. Therefore the variables associated with the main ball pool and those associated with the separate Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,2)
×
C(50-5,5-2)
×
C(12,2)
C(2,2)
×
C(12-2,2-2)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 2 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
2! × (5 - 2)!
×
45!
3! × (45 - 3)!
×
12!
2! × (12 - 2)!
2!
2! × (2 - 2)!
×
10!
0! × (10 - 0)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,2) = 5! ÷ (2! × (5-2)!)
C(50-5,5-2) = 45! ÷ (3! × (45-3)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,2) = 2! ÷ (2! × (2-2)!)
C(12-2,2-2) = 10! ÷ (0! × (10-0)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
10 × 14,190
×
66
1 × 1
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (2! × (5-2)!) = 10
45! ÷ (3! × (45-3)!) = 14,190
12! ÷ (2! × (12-2)!) = 66
2! ÷ (2! × (2-2)!) = 1
10! ÷ (0! × (10-0)!) = 1
139,838,160 = 985
141,900
Calculate:
(2,118,760 ÷ 141,900) × (66 ÷ 1) = 985
Match 2 + 1 Lucky Star 1 in 49 €8.04 Show/Hide ›

Odds for this prize level are directly influenced by the Lucky Stars. Therefore the variables associated with the main ball pool and those associated with the separate Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,2)
×
C(50-5,5-2)
×
C(12,2)
C(2,1)
×
C(12-2,2-1)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
2! × (5 - 2)!
×
45!
3! × (45 - 3)!
×
12!
2! × (12 - 2)!
2!
1! × (2 - 1)!
×
10!
1! × (10 - 1)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,2) = 5! ÷ (2! × (5-2)!)
C(50-5,5-2) = 45! ÷ (3! × (45-3)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,1) = 2! ÷ (1! × (2-1)!)
C(12-2,2-1) = 10! ÷ (1! × (10-1)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
10 × 14,190
×
66
2 × 10
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (2! × (5-2)!) = 10
45! ÷ (3! × (45-3)!) = 14,190
12! ÷ (2! × (12-2)!) = 66
2! ÷ (1! × (2-1)!) = 2
10! ÷ (1! × (10-1)!) = 10
139,838,160 = 49
2,838,000
Calculate:
(2,118,760 ÷ 141,900) × (66 ÷ 20) = 49
Match 2 1 in 22 €4.11 Show/Hide ›

Odds for this prize level are indirectly influenced by the Lucky Stars. While this prize level only involves matching 2 main numbers, the fact that you can also match 2 main numbers and a Lucky Star means the odds of matching 2 main numbers alone are increased. Therefore the variables associated with the main ball pool and those associated with the separate Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,2)
×
C(50-5,5-2)
×
C(12,2)
C(2,0)
×
C(12-2,2-0)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 0 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
2! × (5 - 2)!
×
45!
3! × (45 - 3)!
×
12!
2! × (12 - 2)!
2!
0! × (2 - 0)!
×
10!
2! × (10 - 2)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,2) = 5! ÷ (2! × (5-2)!)
C(50-5,5-2) = 45! ÷ (3! × (45-3)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,0) = 2! ÷ (0! × (2-0)!)
C(12-2,2-0) = 10! ÷ (2! × (10-2)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
10 × 14,190
×
66
1 × 45
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (2! × (5-2)!) = 10
45! ÷ (3! × (45-3)!) = 14,190
12! ÷ (2! × (12-2)!) = 66
2! ÷ (0! × (2-0)!) = 1
10! ÷ (2! × (10-2)!) = 45
139,838,160 = 22
6,385,500
Calculate:
(2,118,760 ÷ 141,900) × (66 ÷ 45) = 22
Match 1 + 2 Lucky Stars 1 in 188 €10.67 Show/Hide ›

Odds for this prize level are directly influenced by the Lucky Stars. Therefore the variables associated with the main ball pool and those associated with the separate Lucky Star pool must be considered in order to calculate the correct odds. Hence, we use the following formula:

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 choosing r correct balls from n
n = Total balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Total balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool
C(50,5)
C(5,1)
×
C(50-5,5-1)
×
C(12,2)
C(2,2)
×
C(12-2,2-2)
Substitute:
n for 50 (total 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 12 (total balls in the bonus pool)
b for 2 (balls drawn from the bonus pool)
d for 2 (balls to be matched from the bonus pool)
50!
5! × (50 - 5)!
5!
1! × (5 - 1)!
×
45!
4! × (45 - 4)!
×
12!
2! × (12 - 2)!
2!
2! × (2 - 2)!
×
10!
0! × (10 - 0)!
Expand:
C(50,5) = 50! ÷ (5! × (50-5)!)
C(5,1) = 5! ÷ (1! × (5-1)!)
C(50-5,5-1) = 45! ÷ (4! × (45-4)!)
C(12,2) = 12! ÷ (2! × (12-2)!)
C(2,2) = 2! ÷ (2! × (2-2)!)
C(12-2,2-2) = 10! ÷ (0! × (10-0)!)
! means 'Factorial' eg: 50! = 50 × 49 × 48 ... × 1
Note: 0! = 1
2,118,760
5 × 148,995
×
66
1 × 1
Simplify:
50! ÷ (5! × (50-5)!) = 2,118,760
5! ÷ (1! × (5-1)!) = 5
45! ÷ (4! × (45-4)!) = 148,995
12! ÷ (2! × (12-2)!) = 66
2! ÷ (2! × (2-2)!) = 1
10! ÷ (0! × (10-0)!) = 1
139,838,160 = 188
744,975
Calculate:
(2,118,760 ÷ 744,975) × (66 ÷ 1) = 188
The approximate overall odds of winning a prize in EuroMillions are 1 in 13

Average prize amounts calculated using results drawn between 10/05/2011 and 17/11/2017.

Buy EuroMillions TicketsEuroMillions Tickets

EuroMillions syndicates are incredibly popular as they increase a player's chances of winning without necessarily increasing the cost. Of course, any prizes won are shared between all syndicate members.

While there is no guarantee that playing each week, or as part of a syndicate, will secure a win, it is entirely feasible that you could win the jackpot the first time you buy a ticket. In 2013 17-year-old Jane Park of Midlothian, Scotland, won a £1 million prize after buying a lottery ticket for the very first time.

EuroMillions is a game of chance and the random, unpredictable nature of the lottery means that everyone is in with an equal chance of winning a prize regardless of personal circumstances. There is no reason why you couldn't be the next big winner - unless, of course, you don't buy a ticket.

*Excluding Superdraw or Event Draw jackpots which are a set amount. The jackpots in Superdraws have the ability to roll over to become an estimated amount in subsequent draws, once again based on anticipated ticket sales.