The simplified expression is
Step-by-step explanation:
Here, the total number of cards in a given deck = 52
let E : Event of drawing a first card which is King
Total number of kings in the given deck = 4
So, =
Now, as the picked card is NOT REPLACED,
So, now the total number of cards = 52 - 1 = 51
Total number of queen in the deck is same as before = 13
let K : Event of drawing a second card which is queen
So, =
Now, the combined probability of picking first card as king and second as queen = P(E) x P(K) =
Hence, the simplified expression is