Answer :
To find the probability of drawing two red queens from a standard deck of 52 cards with replacement, we can break down the calculation into the following steps:
1. Determine the total number of ways Brendan can draw two cards with replacement from a deck of 52 cards. Since he can replace the card after the first draw, the total number of ways is 52 * 52 = 2704 (52 choices for the first card * 52 choices for the second card).
2. Calculate the number of ways Brendan can draw two red queens. In a standard deck of 52 cards, there are 2 red queens. Therefore, the number of ways to draw two red queens is 2 * 2 = 4 (2 choices for the first red queen * 2 choices for the second red queen).
3. Finally, determine the probability by dividing the number of favorable outcomes (drawing two red queens) by the total number of possible outcomes (drawing any two cards with replacement). So, the probability of drawing two red queens with replacement is 4/2704 = 1/676.
Therefore, the correct answer to the question is 1/676.
