What are the odds of all 2 stars in a 10 pack?

The title says it all, someone with better math skills please let us know! It just happened to me with my 4000pt season reward 10 pack.

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Comments

  • Probably not as bad as you think. It is about 1 in 6.
  • Flare808
    Flare808 Posts: 266
    At a 79.3 rate of failure (the 2 star total odds), 9.83% of 10 packs will contain no 3 or 4 stars. Here's the breakdown:

    9.83% - 0 covers
    25.67% - 1 cover
    30.15% - 2 covers
    20.99% - 3 covers
    9.59% - 4 covers
    3.00% - 5 covers
    0.65% - 6 covers
    0.10% - 7 covers
    0.01% - 8 covers
    5.53358x10^-6 - 9 covers
    1.44445x10^-7 - 10 covers

    Not sure whether I should have calculated using rate of failure (79.3) or the rate of success (21%) because of the hidden rounding, but the numbers should be fairly similar. Sorry to hear about your pack-best of luck on your next 10 pack!
  • Polares
    Polares Posts: 2,643 Chairperson of the Boards
    The other day I opened all my saved heroic tokens, 64 I think it was (I saved some for some other moment where I could need the iso), and these were my results:

    1 yellow colossus
    1 yellow storm
    1 black the hood
    1 green XForce
    1 red CA
    1 green LThor
    1 yellow LThor
    1 red Psylocke
    56 2*

    I had a ratio of 12.5%, which is a little bit less of the average, so you can say I had bad luck. And at some point I think I opened more than 10 heroic tokens without pulling any 3* or 4*

    Chances of getting a 3* or 4* should be far higher, it is really difficult to pull something good from a token (in my case just one yellow colossus). I would never in my life buy an heroic token, it is wasting your HP (money)

    PS: When you are oppening heroic tokens the ratio of failure is 84% - (there are 11 2* with 7.2%, and 1 with a 4.8%), worse than when you open 10-packs... In that case you have a 17% chance of not pulling any 3* or 4* (more than 1 of 6 which is a lot)
  • Flare808 wrote:
    At a 79.3 rate of failure (the 2 star total odds), 9.83% of 10 packs will contain no 3 or 4 stars. Here's the breakdown:

    9.83% - 0 covers
    25.67% - 1 cover
    30.15% - 2 covers
    20.99% - 3 covers
    9.59% - 4 covers
    3.00% - 5 covers
    0.65% - 6 covers
    0.10% - 7 covers
    0.01% - 8 covers
    5.53358x10^-6 - 9 covers
    1.44445x10^-7 - 10 covers

    Not sure whether I should have calculated using rate of failure (79.3) or the rate of success (21%) because of the hidden rounding, but the numbers should be fairly similar. Sorry to hear about your pack-best of luck on your next 10 pack!

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