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Is there an odds calculator for the starting hand in YuGiOh Master Duel?
I play a Blue Eyes deck (handtraps count is still not complete) of 40 cards, here is my main deck list.
BEWD x3.
Sage with Eyes of Blue x3.
White Stone of the Ancients x3.
Maxx "C" x1.
Ash Blossom of Joyous Springs x2.
Blue Eyes Alternative White Dragon x2.
Blue Eyes Abyss Dragon x1.
Blue Eyes Jet Dragon x1.
Blue Eyes Chaos MAX Dragon x1.
Dictator of D. x2.
Melody of Awakening Dragon x2.
Polymerization x1.
Greater Polymerization x1.
Ultimate Fusion x1.
Chaos Form x1.
Return of the Dragon Lords x2.
Dragon Shrine x2.
True Light x1.
Bingo Machine! GO x1.
Skill Drain x2.
Ultimate Creature of Destruction x2.
Infinite Impermeance x1.
Called by the Grave x1.
Mystical Space Typhoon x2.
Monster Reborn x1.
One of the most important piece of my combos is Blue Eyes Abyss Dragon allowing me to get either Polymerization or a Ritual Spell from my deck to my hand when SPECIAL SUMMONED, and if still on my side of the field during the end phase, will give me a level 8 or higher monster from my deck to my hand.
And lately, I have said Blue Eyes Abyss Dragon in my starting hand 7 games out of 10, being a brick in my hands if I do not have Dictator of D. as well.
Is there a calculator as to how many of x1, x2 or x3 cards in your deck will appear in your starting hand?
Question from user prout at gaming.stackexchange.com.
Answer:
You can find a deck probability calculator at YuGiOh.Party (found by doing a quick web search for "YuGiOh Starting Hand").
As for how it works:.
Your opening hand is 5 cards. If you have a deck of 40 cards, that means that you have 5 chances out of 40 to draw a specific card in your opening hand.
5 in 40 is the same as 1 in 8 (divide both sides by 5), or 12.5% (because 1÷8=0.125).
The odds of having 2 specific cards in your hands are then this value, multiplied by the odds of one of the other 4 cards being the other card. So, you have a 5-in-40 chance, times a 4-in-39 chance. That's 1-in-8 times 4-in-39. 1*4=4, and 8*39=312, so that's a 4 in 312 chance, or 1 in 78, which works out at 1.28%.
Adding a third card means another 3 in 38 chance. 1/78 * 3/38 is 3/2964, i.e. 1 in 988, or a 0.1% chance of 3 specific cards being in your opening hand.
Of course, duplicate cards make things slightly more complicated. If you wanted a starting hand of Blue Eyes Abyss Dragon and at least 1 copy of The Melody of Awakening Dragon, then the probability would be higher than for a starting hand of Blue Eyes Abyss Dragon and Bingo Machine, Go!!!: 2.46% instead of 1.28%.
Answer from user Chronocidal at gaming.stackexchange.com.
I play a Blue Eyes deck (handtraps count is still not complete) of 40 cards, here is my main deck list.
BEWD x3.
Sage with Eyes of Blue x3.
White Stone of the Ancients x3.
Maxx "C" x1.
Ash Blossom of Joyous Springs x2.
Blue Eyes Alternative White Dragon x2.
Blue Eyes Abyss Dragon x1.
Blue Eyes Jet Dragon x1.
Blue Eyes Chaos MAX Dragon x1.
Dictator of D. x2.
Melody of Awakening Dragon x2.
Polymerization x1.
Greater Polymerization x1.
Ultimate Fusion x1.
Chaos Form x1.
Return of the Dragon Lords x2.
Dragon Shrine x2.
True Light x1.
Bingo Machine! GO x1.
Skill Drain x2.
Ultimate Creature of Destruction x2.
Infinite Impermeance x1.
Called by the Grave x1.
Mystical Space Typhoon x2.
Monster Reborn x1.
One of the most important piece of my combos is Blue Eyes Abyss Dragon allowing me to get either Polymerization or a Ritual Spell from my deck to my hand when SPECIAL SUMMONED, and if still on my side of the field during the end phase, will give me a level 8 or higher monster from my deck to my hand.
And lately, I have said Blue Eyes Abyss Dragon in my starting hand 7 games out of 10, being a brick in my hands if I do not have Dictator of D. as well.
Is there a calculator as to how many of x1, x2 or x3 cards in your deck will appear in your starting hand?
Question from user prout at gaming.stackexchange.com.
Answer:
You can find a deck probability calculator at YuGiOh.Party (found by doing a quick web search for "YuGiOh Starting Hand").
As for how it works:.
Your opening hand is 5 cards. If you have a deck of 40 cards, that means that you have 5 chances out of 40 to draw a specific card in your opening hand.
5 in 40 is the same as 1 in 8 (divide both sides by 5), or 12.5% (because 1÷8=0.125).
The odds of having 2 specific cards in your hands are then this value, multiplied by the odds of one of the other 4 cards being the other card. So, you have a 5-in-40 chance, times a 4-in-39 chance. That's 1-in-8 times 4-in-39. 1*4=4, and 8*39=312, so that's a 4 in 312 chance, or 1 in 78, which works out at 1.28%.
Adding a third card means another 3 in 38 chance. 1/78 * 3/38 is 3/2964, i.e. 1 in 988, or a 0.1% chance of 3 specific cards being in your opening hand.
Of course, duplicate cards make things slightly more complicated. If you wanted a starting hand of Blue Eyes Abyss Dragon and at least 1 copy of The Melody of Awakening Dragon, then the probability would be higher than for a starting hand of Blue Eyes Abyss Dragon and Bingo Machine, Go!!!: 2.46% instead of 1.28%.
Answer from user Chronocidal at gaming.stackexchange.com.
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