Odds of winning EuroMillions: probability of each tier

Exact probabilities for one line, independent of stakes and prizes. They are the same in every draw.

EuroMillions prizes by tier

Tier	Matches	Probability	Percentage
1	5 Matches + 2 Lucky Stars	1 in 139,838,160	0.000001 %
2	5 Matches + 1 Lucky Stars	1 in 6,991,908	0.000014 %
3	5 Matches + 0 Lucky Stars	1 in 3,107,515	0.000032 %
4	4 Matches + 2 Lucky Stars	1 in 621,503	0.000161 %
5	4 Matches + 1 Lucky Stars	1 in 31,075	0.003218 %
6	3 Matches + 2 Lucky Stars	1 in 14,125	0.007080 %
7	4 Matches + 0 Lucky Stars	1 in 13,811	0.007241 %
8	2 Matches + 2 Lucky Stars	1 in 985	0.101474 %
9	3 Matches + 1 Lucky Stars	1 in 706	0.141592 %
10	3 Matches + 0 Lucky Stars	1 in 314	0.318583 %
11	1 Matches + 2 Lucky Stars	1 in 188	0.532741 %
12	2 Matches + 1 Lucky Stars	1 in 49	2.029489 %
13	2 Matches + 0 Lucky Stars	1 in 22	4.566350 %
	Chance of winning something	1 in 13.0	7.71 %

Probability per line under the current rules, calculated exactly. The prize for a tier is the share of stakes allocated to that tier divided by the number of winners; for jackpot tiers, the amount is rolled over to the next draw if nobody wins.

Multiple lines

With n different lines, the jackpot chance is multiplied by exactly n (the lines are mutually exclusive).

Lines	Jackpot chance	Chance of winning
1	1 in 139,838,160	7.7 %
2	1 in 69,919,080	14.8 %
5	1 in 27,967,632	33.0 %
10	1 in 13,983,816	55.2 %
20	1 in 6,991,908	79.9 %
50	1 in 2,796,763	98.2 %
100	1 in 1,398,382	100.0 %

Average wait

Playing one line per draw, this is the average time you wait for the first win in the tier: (104 draws per year)

Tier	Draws	years
1	139,838,160	1,344,597.7
2	6,991,908	67,229.9
3	3,107,515	29,880.0
4	621,503	5,976.0
5	31,075	298.8
6	14,125	135.8
7	13,811	132.8
8	985	9.5
9	706	6.8
10	314	3.0
11	188	1.8
12	49	0.5
13	22	0.2

For comparison

A jackpot chance of 1 in 139,838,160 is roughly equivalent to getting heads 27 times in a row when tossing a coin.