Step 1 :The question is asking for the probability of drawing a queen as the second card, given that the first card drawn was a jack. In a standard deck of 52 cards, there are 4 jacks and 4 queens. Since the first card drawn was a jack, there are now 51 cards left in the deck, and still 4 queens.
Step 2 :The probability of drawing a queen as the second card is therefore the number of queens left in the deck divided by the total number of cards left in the deck. This can be calculated as \(\frac{4}{51}\).
Step 3 :Calculating this gives a probability of approximately 0.0784.
Step 4 :Final Answer: The final answer is \(\boxed{0.0784}\).