# The Fallen Hearts

**Discrete Mathematics**Level pending

She said, "You have to choose 2 cards from this pack without replacement. If both the cards belong to the heart suit, we are on."

As she started shuffling the deck, unknown to either of them, 3 cards inadvertently fell out of the pack at random. In effect the deck was consisting of 49 cards when Agnishom chose his two cards.

Given this scenario, the probability that Agnishom goes on the date i.e. that he draws two hearts without replacement can be expressed as \(\dfrac{a}{b}\) where \(a\) and \(b\) are co-prime positive integers.

Find the value of \(a+b\).