Legendary drop rates and effects due to cards

Legendary cards are one of the reasons that make clash royale the game it is now and legendary cards are special because of their rarity. Every player who doesn't have a legendary dreams to get one, but what are the chances?

Legendaries have existed since quite some time now but most of us still don't have them. The odds to get one legendary depend on the 'Legendary factor' which varies according to two conditions.

•  The chests- Each chest has a different legendary factor and some chests naturally have a higher chance of obtaining legendaries. For now super magical chests and magical chests have the best legendary factor in the game followed by a challenge chest and a silver chest promising commons lies at the bottom of the list.

Types of Chests	Legendary Factor	Number of Cards in A9 Chest	7 Legendaries	8 Legendaries	9 Legendaries
Free	4000	11	0.11%	0.13%	0.15%
Crown	4000	76	0.78%	0.89%	1.01%
Silver	10000	11	0.05%	0.05%	0.06%
Gold	5700	38	0.27%	0.31%	0.35%
Giant	10000	304	1.25%	1.43%	1.61%
Magic	600	114	7.82%	8.94%	10.06%
SMC	600	684	46.94%	53.65%	60.35

credits: reddit

• The number of commons in the game- The effect of commons on your chances is pretty significant in fact Supercell adding a common card to the game brings down the chances of having a legendary by 2 percent if added now and that is same as the chances of receiving legendary from a classic challenge chest which is pretty huge considering you might miss out on a legendary just because of a common card. Some of you might have complains about supercell adding legendaries to the game but technically adding a common would be much more brutal to our chances of getting a legendary. More the legendaries, the better our chances.

Calculating Our chances of legendary based on arena

To calculate legendary odds based on a chest  we will need to use this formula

Let us assume

R= number of cards in chest

M= total number of legendaries in game.

I= number of commons in game

N= legendary factor of the chest

Plugin the numbers in this formula

((R*M)/I)/N) and you ll get the chance percent of legendary from that chest

For example

In an arena 8 silver chest you get 10 cards      

Current number of legendaries are 7

Commons are 17

Legendary factor for the chest is 10000

therefore 

((10*7)/17)/10000 which gives us .42 % Approx

Thus a frozen peak chest gives you .42%  chance of a legendary

Now if we calculate the same with one common more i.e 18 commons legendary chances decrease and if you add another legendary the increase

Why play challenges???

A grand challenge is great bang for your buck and best deal you can get from the game. In a grand challenge if you manage to win only 2 matches you get 2500 cold and 50 cards considering you invested only 100 gems which accounts to 1200 gold in game, by winning only two matches you are earning more gold per gem than you get from shop and a bonus of 50 cards and legendary odds are also significantly high  have a look

Grand challenge

Number of Wins	Number of Cards in A9 Chest	7 Legendaries	8 Legendaries	9 Legendaries
0	20	0.41%	0.47%	0.53%
1	30	0.62%	0.71%	0.79%
2	50	1.03%	1.18%	1.32%
3	85	1.75%	2.00%	2.25%
4	130	2.68%	3.06%	3.44%
5	185	3.81%	4.35%	4.90%
6	250	5.15%	5.88%	6.62%
7	330	6.79%	7.76%	8.74%
8	420	8.65%	9.88%	11.12%
9	530	10.91%	12.47%	14.03%
10	670	13.79%	15.76%	17.74%
11	860	17.71%	20.24%	22.76%
12	1100	22.65%	25.88%	29.12%

credits: reddit

For classic challenge if you win 12 game your chances of getting a legendary is 2%

Classic Challenge

Number of Wins	Number of Cards in A9 Chest	7 Legendaries	8 Legendaries	9 Legendaries
0	2	0.04%	0.05%	0.05%
1	3	0.06%	0.07%	0.08%
2	5	0.10%	0.12%	0.13%
3	8	0.16%	0.19%	0.21%
4	12	0.25%	0.28%	0.32%
5	17	0.35%	0.40%	0.45%
6	23	0.47%	0.54%	0.61%
7	30	0.62%	0.71%	0.79%
8	38	0.78%	0.89%	1.01%
9	48	0.99%	1.13%	1.27%
10	61	1.26%	1.44%	1.61%
11	78	1.61%	1.84%	2.06%
12	100	2.06%	2.35%	2.65%

credits : reddit

Chest cycle:

With new chests introduced the cycle will change a bit. Now there are two new chests added to the cycle with super magical chest i.e now you will receive an epic chest a super magical and a magical chest every 500 chests you open. Though expected more it's triple the happiness as we had to wait 500 chests to get one super magical before

Be sure to follow us on facebook for detailed list of most used cards and current meta tomorrow.

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