I need to calculate some probabilities in poker and one of the situtations goes like this:
I've already gotten two cards for example Ace and King and I want to calculate the probability of getting a Queen, Jack and 10 in the next three drawn cards. I want to ignore that there might be other players at the table at this time.
I thought that you do it like this:
Is that correct?
My given assignment states that I need to use combinatorics / permutations to solve it, and I’m not sure how I do this.
I think what I need to do is calculate how many different combinations there is for drawing the three cards I want and then divide that by the number of total combinations there are for drawing 3 random cards. Like this:
There is a problem here however, when doing 12*8*4 you calculate all the possibilites for drawing the three cards where the order they are drawn matter but the order of how the cards are drawn doesn't matter.
However this result is not the same as the first one? So which method is correct and what am I doing wrong?
I hope someone can help me with this