Two cards are chosen from a deck of 52 cards without replacement.
Determine the probability that both cards are face cards or both cards are hearts?
I did face cards $\frac{12}{52} \times \frac{11}{51}$ + hearts $\frac{13}{52} \times \frac{12}{51}$
How do I solve for when both cards are face cards and hearts so I can subtract the overlap?
Best Answer
For face cards that are hearts, there is only three such cards in the deck.
Therefore $P($heart face cards for two draws$)={3\over 52} \times {2\over 51}$.