In a standard 52 card deck, there are:
ace = 4
hearts = 13
where one of the hearts is an ace (hence there is a connection)
Since the major prize is an ace of hearts, therefore the minor prizes are selected from the below cards:
ace = 3
hearts = 12
We can see that both is decreased by 1 since the major prize was an ace and a heart at the same time.
Therefore the total number of cards which can gain a minor prize is now:
3 + 12 = 15
Therefore the probability of winning the minor prize from the 52 card deck is:
Probability = 15 / 52
Probability = 0.2885
Hence there is a 0.2885 chance or 28.85% chance that the minor prize is won.
