You choose two cards from a well-shuffled deck, putting the first card back and shuffling before you draw the second card. What is the probability that the first card drawn is a Queen and the second card drawn is a Jack?
The probability of drawing a Queen as the first card is 4/52 (since there are 4 Queens in a deck of 52 cards). After returning the card to the deck and shuffling, the probability of drawing a Jack as the second card is also 4/52.
Since the two events are independent (drawing a Queen on the first draw does not affect the probability of drawing a Jack on the second draw), we can multiply the probabilities to find the probability of both events occurring:
Probability = (4/52) x (4/52) = 1/169
Therefore, the probability of drawing a Queen on the first draw and a Jack on the second draw is 1/169.