:confused::confused: I am still unable to find the probability of drawing only ONE queen if 5 cards are dealt from a standard deck of 52. I think I might have found a way. I need to know the number of arrangements of 0's and 1's from 5 combinations if there is a given amount of zero and 1's. Example: The number of arrangements when there are 4 1's and 1 zero = 5. (11110; 11101; 11011; 10111; 01111). I can't figure out how to find the number of arrangements when there are 3 1's and 2 zeros. I know the number has to be pretty large. Hint: The question is not how many combinations of zeros and 1's there are in five bins (2^5 = 32). My question is what is the number of ARRANGEMENTS of zeros and 1's in five bins given the number of zeros and 1's. :(:(

What is your question? is it "probability of drawing only ONE queen if 5 cards are dealt from a standard deck of 52?"
or "number of arrangements of 0's and 1's from 5 combinations if there is a given amount of zero and 1's"

for the first question, hint is Hyper Geometric distribution.

I am trying to figure out the probability of drawing only ONE queen from 5 cards.