Final answer:
The probability of drawing two clubs in succession without replacement from a 52-card deck is 1/17.
Step-by-step explanation:
The probability of drawing two clubs in succession without replacement from a standard deck of 52 playing cards can be calculated using the multiplication rule for independent events.
For the first draw, there are 13 clubs in the deck, so the probability of drawing a club is 13/52. After drawing a club, there are now 12 clubs left out of 51 cards. Thus, the probability of drawing another club on the second draw is 12/51. To find the overall probability of both events occurring, we multiply these two probabilities together:
Probability of first club × Probability of second club = (13/52) × (12/51) = 1/4 × 12/51 = 12/204 which simplifies to 1/17.