Find probability of certain number of cards being dealt from remaining cards I did find similar questions to this but I didn't understand the complex answers, so here goes:
I need to find the probability of being dealt a specified amount of cards from the remaining cards in the deck, for example:
I have being dealt 2 cards, Ace and King of clubs, there are now 50 cards remaining in the deck, 11 of which are clubs. I know I can find the probability of the next card dealt being a club by doing:
11 / 50 = 0.22 (22%)

But I need 3 more clubs to make my flush (5 cards of the same suit) and there are 5 cards to be dealt, how do I find the probabilty of being dealt 3 more clubs after 5 more cards have been dealt, would it be something like:
(11 / 50) + (11 / 49) + (11 / 48) + (11 / 47) + (11 / 46)


If I understand well then $5$ cards are drawn from a deck of $50$ cards of which exactly $11$ are clubs.
Then the probability that exactly $3$ clubs are drawn equals:$$\frac{\binom{11}3\binom{39}2}{\binom{50}5}$$
If you are looking for the probability that at least $3$ clubs are drawn then see the answer of Jfischer.
