Step 1 :There are 4 sevens in a deck of 52 cards. So the probability that the first card drawn is a seven is \(\frac{4}{52}\) or \(\frac{1}{13}\).
Step 2 :After one seven is drawn, there are now 3 sevens left in a deck of 51 cards. So the probability that the second card drawn is a seven is \(\frac{3}{51}\) or \(\frac{1}{17}\).
Step 3 :Since these are independent events, the probability of both events occurring is the product of their individual probabilities.
Step 4 :Final Answer: The probability that the first card is a seven and the second is a seven is \(\boxed{\frac{1}{221}}\).