You have a deck of 52 playing cards. If you draw 5 cards at random without replacing them, what is the probability that all 5 cards will be hearts?
To find the probability, let's consider the following steps:

1. There are 13 hearts in a standard deck of 52 playing cards.
2. When drawing the first card, the probability of it being a heart is 13/52 (since there are 13 hearts out of 52 cards).
3. After drawing the first heart, there are now 12 hearts left and 51 cards remaining in the deck. The probability of drawing another heart is now 12/51.
4. Continuing this pattern, the probabilities for the next three draws would be 11/50, 10/49, and 9/48, respectively.
5. To find the overall probability of drawing 5 hearts consecutively, multiply the individual probabilities together:

(13/52) * (12/51) * (11/50) * (10/49) * (9/48)

The probability of drawing 5 hearts consecutively is approximately 0.000495.