If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are picture cards.
The probability is
(Round to six decimal places as needed.)

Step 1 ：The picture cards in a deck are the Kings, Queens, and Jacks. There are 4 of each in a deck, so there are 12 picture cards in total.

Step 2 ：We want to find the probability of drawing 4 picture cards out of 52 cards. This is a combination problem, because the order in which we draw the cards does not matter.

Step 3 ：We can use the combination formula: \(C(n, k) = \frac{n!}{k!(n-k)!}\) where n is the total number of items, k is the number of items to choose, and '!' denotes factorial.

Step 4 ：The probability of drawing 4 picture cards is then the number of ways to choose 4 picture cards out of 12, divided by the number of ways to choose 4 cards out of 52.

Step 5 ：Calculate the total number of ways to choose 4 cards out of 52, which is \(C(52, 4) = 270725.0\).

Step 6 ：Calculate the number of ways to choose 4 picture cards out of 12, which is \(C(12, 4) = 495.0\).

Step 7 ：Divide the number of ways to choose 4 picture cards by the total number of ways to choose 4 cards to get the probability: \(\frac{495.0}{270725.0} = 0.001828423677163173\).

Step 8 ：Final Answer: The probability that all 4 cards are picture cards is approximately \(\boxed{0.001828}\).