Answer:
The probability of getting one heart in a random draw from a 52 card deck is 13 in 52, or 1 in 4. The probability of getting the second heart is 12 in 51 - the third, 11 in 50 - the fourth, 10 in 49. The total probability of getting four hearts is simply the product of those probabilities, or 1320 in 499800. Simplified to least common multiple, that reduces to 11 in 4165.