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June 18th, 2008, 06:09 AM  #1 
Newbie Joined: Jun 2008 Posts: 4 Thanks: 0  Probability in a Trading Card Game??
Hey everyone. I've never been great at Math & I need some Help. I'm in the process of writing an article and I need a little help finishing a math problem. I play a trading card game with 4 "rarities": Mythic Rare, Rare, Uncommon, & Common. I'm trying to calculate the probability of opening ONE PARTICULAR Mythic Rare in a Box of Booster Packs. There are 36 Booster Packs in 1 Box. Booster Packs contain 1 Rare/Mythic Rare (Supposedly 1 in 8 Booster Packs will contain a Mythic Rare.) 3 Uncommons 10 Commons 1 Mana 15 Cards total There are 15 Possible Mythic Rares in the set of cards.
Here is what I have so far: For the PARTICULAR Mythic Rare:
For the PARTICULAR Regular Rare
Is this math correct so far? Or am I totally confusing things?? What I'm not sure about is taking the next step to figure the packs in the box: If my probability is 1:120 and I have 36 booster packs. Each with a 1:120 chance of getting the particular Mythic Rare (1/8 * 1/15). Wouldn't I multiply (1/120) * 36 = 0.3? OR would I have (1/120)^36? I don't think my calculator will do the latter: 1.41083E75 What?? If I use the (7/424) * 36 = .59 If I use (7/424)^36= 6.89221E65 ?? What unit is it? What does it mean? 0.3 of a chance I get the particular Mythic Rare in 36 booster packs? 0.3% chance? I'm confused. THANK YOU FOR YOUR HELP! (I wish I had paid more attention in school!!) Whoever answers the question right will get the credit in the article!! Bye for now, Ray 
June 18th, 2008, 08:48 AM  #2 
Newbie Joined: Jun 2008 Posts: 4 Thanks: 0  Re: Probability in a Trading Card Game??
I've simplified this question: http://www.mymathforum.com/viewtopic.php?f=24&t=3692 

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card, game, probability, trading 
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