The following problem involves a standard deck of 52 cards. You select a card, note the card, and then place the card back in the deck. The deck is then shuffled and a second card is chosen. This process is performed a total of 3 times.

The probability of getting exactly 1 queens. Write your final answer as a percent rounded two two decimal places.
Number
$\%$

Step 1 ：The problem is asking for the probability of drawing exactly one queen from a deck of 52 cards in three draws, with replacement.

Step 2 ：The total number of ways to draw 3 cards from a deck of 52, with replacement, is \(52^3\) which equals 140608.

Step 3 ：The number of ways to draw exactly one queen in three draws is the product of the number of ways to draw one queen and the number of ways to draw two non-queens.

Step 4 ：There are 4 queens in a deck of 52 cards, so there are 4 ways to draw one queen.

Step 5 ：There are 48 non-queens in a deck of 52 cards, so there are \(48^2\) ways to draw two non-queens, which equals 2304.

Step 6 ：However, the queen could be drawn in any of the three draws, so we must multiply the number of ways to draw exactly one queen by 3, which equals 27648.

Step 7 ：The probability of drawing exactly one queen in three draws is then the number of ways to draw exactly one queen divided by the total number of ways to draw 3 cards, which equals 0.19663177059626763.

Step 8 ：Converting this probability to a percentage gives approximately 19.66317705962676%.

Step 9 ：Final Answer: The probability of getting exactly 1 queen in three draws from a deck of 52 cards, with replacement, is approximately \(\boxed{19.66\%}\).