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read this, which you should have done before submitting.

For example, do you know about the binomial distribution? How about the normal approximation to it?

Hello,

It's not from a class or work or anything it's to figure out a strategy for an online fantasy card game.

I would know how to calculate for example the probabiliy to get at least one red coin out of the bags which should look something like :

100-(((100-12.2)/100)^110) if i'm not mistaking (99.9999993913%)

If i'm not mistaken (12.2/100)^12 gives me the probability that I get my 12 red coins out of the 12 first bags, which is very unlikely

It's the fact that you need to draw multiple red coins among a lot of bags to be happy that confuses me, how do you factor that in

You have only 12.2% chance to get a red coin from a bag, but you do a lot of pulls (110) which increase your chance to be happy, but you want to get lucky 12 times which is a lot to ask and decreases your chances to be happy

I can't figure out how to conterbalance the increase versus the decrease basicly

From the sheer looks of it when playing it seems like the odd are around 50%, I have the impression that I pull it off around half the time but it's a very little number of tries so highly unreliable.

I don't know what are "binomial distribution" and "normal approximation" are

thanks by advance for your help