(a) There are 13 hearts in the deck of 52 cards.
According to the question,
A person stops when he draws a heart and for that he make 3 trails.
In the first trial d o e s not get a heart.
So, probability =
(∵ 39 cards are non-heart cards)
Again In second trial he does not get a heart,
so probability =
and in the last trial he picked a heart card
so probability =
Required probability, so that he has to make 3 trials
=
××=