Are Potions Worth It? - An Experiment

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     The much anticipated general sale has begun over at Splinterlands. Chaos Legion packs are literally flying off the imaginary shelves. Amidst all of the excitement, I thought it would be a good time to share a fun little experiment I did a little while back (during the presale).

     At the time, I had 100 card packs to open but only enough legendary and gold potions to cover 46 of them. So, I opened those 46 in two batches of 23. I did that just to prolong the fun of opening card packs. Here are the 230 cards I received from those 46 packs...

     
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     Of the 230 cards, I pulled 11 gold-foil cards which is approximately 5%. I also received four legendary cards which were about 2% of the overall haul. If you noticed, I did land a coveted gold-foil legendary card as well. That made it all worth it.

     Afterwards, I began to think...did the potions make that much of a difference? In the #Splinterlands shop, it says the gold potions double your chances of getting a gold card and the legendary potions double your chances of getting a legendary card.

     Of course, when you're dealing with probability, nothing is guaranteed. When you flip a coin 100 times you should, theoretically, get 50 heads and 50 tails. But, do you?

     Perhaps that's a bad analogy. A coin is subject to more variables than a computer algorithm. Did you flip the coin the exact same way all 100 times? Whereas, a computer program should act as, well, programmed.

     But then I thought about those pesky RNG's. You love them, and, you hate them. At this point there was only one way to satisfy my curiosity. That's right. I opened 46 more packs without having potions. 😬

     Here's what I received...

     
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     Of these 230 cards, I only landed four gold-foil and one legendary. That's about 2% gold and less than 1% legendary. With the help of this online table and chart maker, I made some graphics to help visualize the differences between potion and non-potion.

     
     
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     These pie charts show the percentages of each type of regular card I received. The actual number breakdowns along with the accompanying collection power can be seen in the chart below.

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     The total collection power is pretty close. The two extra legendary cards making the difference. Following are the same charts for the gold-foil cards.

     
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     The difference between the gold-foils is huge. The total collection power received from the potions: 19,025. The total collection power received from not using potions: 4,150. That's a difference of 14,875.

     
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     Without the 12,500 power from the legendary gold-foil card, the difference in collection power would have been 2,375.



     Interpret this little experiment however you like. Personally, I'm sold on using potions. I wouldn't open any more packs without them. Thanks for reading.


     

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