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A.) Introduction

Hey Yo!

What's up dude and dudettes?

I hope you are having great weekend!

I'm so glad to have you back in my article, Press Officer Tea, This time we will talk about the exclusive artifact in one of the oldest event namely Trionfi of Fate. What can be expected from this article? Then what are the contents of this spotlight? and How Much The Exclusive Artifact Price?. This article is expected to provide an overview and getting closer with Exclusive Artifact in Trionfi of Fate especially if you are still new players and wondering if it is worth to get? Let's see together in more detail regarding how this new adjustment!

🏅B.) Trionfi of Fate

Trionfi of Fate is basically a simple game of matching two cards that have prizes according to the pictures that appear. If the same image appears, then you will automatically receive the prize. I have a fairly high assumption that this event will be active again after the many related requests for Trionfi of Fate in the Infinity Kingdom community. But all things considered, what is the estimated price of an exclusive artifact in the Trionfi of Fate? Let's discuss the official regulations first (Conclusion is at the bottom of the paragraph, be sure to read it)

🎯 1.) Basic Rules⚡

1. Select an Immortal and let the Trionfi cards connect you to his or her Fate! You can obtain rare items such as Immortal fragments and Dragon Crystal.

2. You have 250 attempts per day to connect with each Immortal. Every day at 0:00 UTC, the number of connections will be reset.

3. When you flip over two Trionfi cards with the same content in rapid order, it indicates that the connection worked and you can claim the rewards listed on the cards.

4. The connection must use gems to be made; otherwise, cards that have been turned over but were not connected will be returned, and turning this card over again won't use gems.

5. At any time, you can terminate the current connection and reset all cards. All cards will be automatically reset once you've earned all the rewards.

6. The connections that are currently active will be reset, but you can choose new Immortals to connect on the event home page.

📑2.) Basic Calculation in Trionfi of Fate

Math Definition

Before going any further, we must study permutations and combinations.

Source: IGCSE

📑2.) Keywords to Reminding Next Step

Currently, exclusive artifact fragments of the following Immortals can be won in this event: Ramses, Leonidas, Richard I, Hannibal Barca (Order with the picture above)

The event lasts for 3 days. Every day you can open two cards for free. Total for the event - 6 free discoveries, but you have to unlock two every day, you can't unlock all 6 on the last day as free-to-play.

🖼️3.) Option Math Estimation

Free Option

Every event we open is just a free attempt, we wish you good luck. Let's evaluate the opportunities and requirements in this case.

We have 6 pairs of cards, a total of 12, and we want to draw the correct pair in 6 attempts. The following options are possible:

1. In six tries, we managed to eliminate the correct pair.

Let's try to assess the likelihood. The formula for the number of combinations from N to K is required here = N! / ((N-K)! x K!)

C is the quantity of different combinations, N is the quantity of our cards, and K is the quantity of card draws.

When we substitute, we obtain:

C = 12! /((12-6)!x6!)

C = 12! / (6!x6!)

C = 7x8x9x10x11x12 / (1x2x3x4x5x6)

C = 924

It turns out that we can open a total of 12 cards with 6 tries with 924 unique ways, repetitions due to different opening sequences have been taken into account.

We reveal the necessary two cards, leaving us with 10 on the table and 4 attempts. Using the same calculation, we have

C = 10! / ((10-4)! x4!)

C = 7x8x9x10 / (1x2x3x4) = 210 combinations.

We determine that the likelihood of opening the necessary two cards out of a possible 12 in 6 tries is 210/924 = 22.73%.

2. We only open one of the two required cards.

What are the options here? We open one, which means we have 5 more attempts out of 10 cards, because the 11th is also required, and the options when we open the two we need, we've counted, so there will be:

10! / (5!x5!) = 252 options. 

But we have two cards we need, so the second one will have the same number of options. 

We multiply 252x2 = 504 options from 924, this is 54.54%.

3. We didn't unlock the required card in 6 tries.

It's as if these two cards don't exist at all, and we're going to turn 6 out of 10. Let's count:

10! /((10-6)! x 6!)

surprisingly this equals 210, as in the first case. so the probability is 210/924 = 22.73%

As a result, we have a not so high probability of pulling out the necessary fragments - only 22.73%

Let me remind you that you require 60 fragments to achieve exclusive artifact in the forge feature. The card provides 2 pieces, we split them up, and it turns out that opening the desired pair 30 times is necessary.

And if this isn't done consistently, but just 22.73 times out of 100, we'll require 352 instances.

Yes, there will be instances where it is feasible to open the required two at once, and then the next day you can continue to open for one event (although the likelihood of this happening is pretty low, 1/66 = 1.5%).

I advise it if you're not in a rush and enjoy seeing trees develop. (Nonetheless free.)

Think about strategy when we play for free, but if it doesn't fall, we buy more for gems until it does.

📜4.) Math Base Permutation

We already learn the permutation above, now we can count it following to formula if:

We ever went bankrupt on 300 gems, we'd do a similar calculation.

1. Play both cards 252 times out of 792 times = 31.82%

2. Play one card 420 out of 792 times = 53.03%

3. We will not open 120 of 792 = 15.15% of the time required.

We spend 900 gems From the third time should:

 1. Open both cards 120 out of 220 = 54.55%

 2. Open one card 90 out of 220 = 40.9%

 3. We will not open any of the necessary 10 out of 220 = 4.55%

It's not surprising if 2 cards are still not open, and the gems are bye-bye.

But you can’t stop a seasoned Trionfi of Fate, we open further! minus 1200 gems!

 1. Open both cards 45 out of 66 = 68.18%

 2. Open one card 20 out of 66 = 30.30%

 3. We will not open any of the necessary 1 out of 66 = 1.52%

 68% is, of course, already good, but 1200 themselves! and after all even as much as 30% on failure.

Let me remind you that we will have to pull as many as 30 times, which means an average of 9 times this scenario will happen to you.

 Spend further - 1500 (6 free + 5 paid attempts)

 1. Open both cards 10 out of 12 = 83.33%

 2. Open one card 2 out of 12 = 16.67%

 3. We will not open a single necessary 0% (there are 10 unnecessary cards, and 2 necessary ones, and we have 11 attempts, which means we will open one for any)

16.67% for failure, it turns out that 13-14 times out of the required 30 it will happen that way.

For 1800 gems 100% we open two necessary cards. No options.

📚C.) Conclusion 💠

The middle is somewhere between 600-1800 gems. In half of the cases, exactly as much will be needed, there will be times when more is needed, and as much as 2 times, but there will also be successful ones when it is not needed at all. We multiply by 30 times, we get 18,000—54,000 somewhere so you have to spend, well, 30 events, this is also very slow. It's hard to say how often cards are given, like, once every 2-3 weeks, it turns out that we need 30x2.5 = 75 weeks of real time, and this, as you might guess, is 2 years if you are free-to-play. But you can do it in one-go with price 12 x open card with 300 gems and 30 instances, so we get 12 x 300 x 30 = 108,000 Gems requirement for one artifact if you don't have any luck and want to finish it in one event. In my personal opinion, it is all depends on your luck; it will be cheap if you are lucky and it will be expensive if you don't have luck which is 108,000 Gems.

✨ Thank you for reading; maybe it was helpful and will assist you to learn more about How Much Exclusive Artifact in The Trionfi of Fate! ✨

📚D.) Reference 💠

Yoozoo Pte, Ltd. Infinity Kingdom. V. 2.4.2

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