# Exactly what are the odds?

**URL:** <https://community.gemsofwar.com/t/exactly-what-are-the-odds/873>\
**Category:** Gameplay Chat (PC/Mobile)\
**Created:** [October 7, 2015, 9:52pm UTC](https://community.gemsofwar.com/t/exactly-what-are-the-odds/873 "2015-10-07T21:52:40Z")\
**Posts on this page:** 9\
**Page:** 1

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**Author:** ![Skippygammons](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/skippygammons/32/2103_2.png) [@Skippygammons](https://community.gemsofwar.com/u/Skippygammons)\
**Post date:** [October 7, 2015, 9:52pm UTC](https://community.gemsofwar.com/t/exactly-what-are-the-odds/873/1 "2015-10-07T21:52:41Z")

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Who’s great with math! I’ve got a serious question. For you 🙂

What are the chances of getting the SAME legendary 6 times? Just curious. I opened 100+ keys. Got a Gloom Leaf! Got a Gloom Leaf 5 more times… Hmm…

Is it just me or did the I just get screwed? One is awesome. Two is probably still feasible. 6? I clearly just lost out on 5 other very awesome legendaries due to this. What a a bummer.

 ![](https://us1.discourse-cdn.com/flex019/uploads/gemsofwar/original/1X/62367fb999c9bf9a7ffee7ec5b9cb8e4809cc428.jpg)

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**Author:** ![sethrogensbackhair](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/sethrogensbackhair/32/563_2.png) [@sethrogensbackhair](https://community.gemsofwar.com/u/sethrogensbackhair)\
**Post date:** [October 7, 2015, 10:17pm UTC](https://community.gemsofwar.com/t/exactly-what-are-the-odds/873/2 "2015-10-07T22:17:07Z")

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not as improbable as my 20 something gloom leafs 😁

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**Author:** ![utfanx2](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/utfanx2/32/525_2.png) [@utfanx2](https://community.gemsofwar.com/u/utfanx2)\
**Post date:** [October 7, 2015, 10:35pm UTC](https://community.gemsofwar.com/t/exactly-what-are-the-odds/873/3 "2015-10-07T22:35:45Z")

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Without including imps, there are 20 Legendaries. With a 1% chance to get a legendary and a 1/20 chance to get Gloom leaf, I would say about an .008% chance to get 6 in a row. Or, one in 800k.

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**Author:** ![actreal](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/actreal/32/1945_2.png) [@actreal](https://community.gemsofwar.com/u/actreal)\
**Post date:** [October 7, 2015, 11:20pm UTC](https://community.gemsofwar.com/t/exactly-what-are-the-odds/873/4 "2015-10-07T23:20:44Z")

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Actually, since he’s only considering the Legendaries he got (i.e. excluding all the Commons and Rares he no doubt also got) they’re not in a row.

So if you got 6 Legendaries out of 100 keys, the odds that all 6 are the same Legendary is 20 x 0.05^6 = 0.00003% or 1 in 3.2 million.

Mind you, 6 Legendaries out of 100 keys sounds pretty lucky, so maybe consider the extra 5 Gloom Leafs as bonus disenchant souls?

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**Author:** ![Zelfore](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/zelfore/32/22295_2.png) [@Zelfore](https://community.gemsofwar.com/u/Zelfore)\
**Post date:** [October 8, 2015, 12:30am UTC](https://community.gemsofwar.com/t/exactly-what-are-the-odds/873/5 "2015-10-08T00:30:16Z")

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It’s actually a pretty near fact that your chances of getting a legendary you already own is higher than that of a new one.

But considering we don’t know the exact number for legends you own, the numbers can’t be easily calculated.

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**Author:** ![temmie143](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/temmie143/32/239_2.png) [@temmie143](https://community.gemsofwar.com/u/temmie143)\
**Post date:** [October 8, 2015, 2:52am UTC](https://community.gemsofwar.com/t/exactly-what-are-the-odds/873/6 "2015-10-08T02:52:01Z")

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Funny you mention this, since I have the opposite problem. I usually only get 1 to 2 legendaries for every 100 keys.

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**Author:** ![IVIMarkIVI](https://avatars.discourse-cdn.com/v4/letter/i/bbe5ce/32.png) [@IVIMarkIVI](https://community.gemsofwar.com/u/IVIMarkIVI)\
**Post date:** [October 8, 2015, 3:53pm UTC](https://community.gemsofwar.com/t/exactly-what-are-the-odds/873/7 "2015-10-08T15:53:18Z")

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My first 2 legendaries were the same card, then I got a different one…

Have well over 100 keys

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**Author:** ![IVIMarkIVI](https://avatars.discourse-cdn.com/v4/letter/i/bbe5ce/32.png) [@IVIMarkIVI](https://community.gemsofwar.com/u/IVIMarkIVI)\
**Post date:** [October 8, 2015, 4:19pm UTC](https://community.gemsofwar.com/t/exactly-what-are-the-odds/873/8 "2015-10-08T16:19:19Z")

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@actreal and your calculations are for getting any 1 legendary, not specifically Gloom Leaf correct?

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**Author:** ![actreal](https://sea1.discourse-cdn.com/flex019/user_avatar/community.gemsofwar.com/actreal/32/1945_2.png) [@actreal](https://community.gemsofwar.com/u/actreal)\
**Post date:** [October 8, 2015, 10:12pm UTC](https://community.gemsofwar.com/t/exactly-what-are-the-odds/873/9 "2015-10-08T22:12:04Z")

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> [@IVIMarkIVI](#):
>
> @actreal and your calculations are for getting any 1 legendary, not specifically Gloom Leaf correct?

Yes, because OP’s complaint would be the same if he’d got 6 Molochs instead. For specifically Gloom Leaf, the probablity is 20 times less likely, or 1 in 64 million.
