Final answer:
The probability of drawing at least one queen from a standard deck of 52 cards is 28.2%.
Step-by-step explanation:
To find the probability of drawing at least one queen from a standard deck of 52 cards, we need to consider the probability of not drawing any queen and subtract it from 1. There are 4 queens in a deck, so the probability of not drawing a queen on the first draw is 48/52. Since we are drawing without replacement, the probability of not drawing a queen on the second draw is 47/51, on the third draw is 46/50, and on the fourth draw is 45/49. To find the probability of not drawing any queen in any of the four draws, we multiply these probabilities together: (48/52)*(47/51)*(46/50)*(45/49). Subtracting this probability from 1 gives us the probability of drawing at least one queen: 1 - (48/52)*(47/51)*(46/50)*(45/49) = 1 - 0.718 = 0.282 or 28.2%.