Answer:
The probability that the first card is a heart is 13/52
For the second card it is 12/51 (There are only 51 cards and only 12 of them are in the heart suit.)
For the third card it is 11/50
4th card 10/49
5th card 9/48
6th card 8/47
7th card 7/46
The total probability of all of these events occurring is the product of each individual probability.
So, the answer is (13 * 12 * 11 * 10 * 9 * 8 * 7) / (52 * 51 * 50 * 49 * 48 * 47 * 46)
which equals exactly 33 / 2,572,780 or roughly 1 chance in about 77,963
Step-by-step explanation:
