Final answer:
The probability of drawing three cards in a row, where the first two are hearts and the third is a club, is 1/850.
Step-by-step explanation:
To find the probability of drawing three cards in a row as follows: the first is a heart, the second is a heart, and the third is a club, we first need to calculate the probability of drawing each card.
There are 13 hearts in a standard deck of 52 cards, so the probability of drawing a heart as the first card is 13/52.
After drawing the first heart, there are only 12 hearts left in the deck, so the probability of drawing another heart as the second card is 12/51.
Lastly, there are 13 clubs in the deck, so the probability of drawing a club as the third card is 13/50.
To find the probability of all three events occurring, we multiply the probabilities together: (13/52) * (12/51) * (13/50) = 1/850.