- #1

GtB

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The game I play people usually have 60 card decks, you can have more then 60 but 60 is the number of cards people usually stick with.

Lets say for this question my deck has 15 different cards, 4 of each card for a total of 60 cards in the deck.

To start the game I draw 7 cards into my hand.

I have two questions.

1. What is the chance of my drawing a specific card, I will refer this card as Card X, in my opening hand?

My understanding is this (assuming it is the last card I draw)

Chance to draw Card X in Opening Hand of Seven Cards= (4/60)+(4/59)+(4/58)+(4/57)+(4/56)+(4/55)+(4/54)

Chance to draw Card X in Opening Hand of Seven Cards = 49.2%

Is this correct?

2. In the game I play if we do not like our first 7 cards we can reshuffle our deck and draw another seven cards, called mulligan.

Knowing this, what is the chance that I will draw Card X in my Opening Hand of Seven cards in either my intital draw or my mulligan draw?

I know enough about this to know I am not sure what kind of math needs to be done.

On a side note, what kind of math would I need to study to learn about the kind of probabilites I would use for my card game? I am not a professional player but it is my main hobby and I would very much like to not only be able to build my decks knowing how many cards I should put in my deck but I would also like to know the probabilities during a match. Knowing the basics would really help me.

Thanks for any help that can be provided.

GtB

Rob