compute for:

possibile ways of drawing 2 kings out of 4 kings

= C(4, 2) = 4!/(2!*(4-2)!) = 6

possibile ways of drawing 3 queens out of 4 queens

= C(4, 3) = 4!/(3!*(4-3)!) = 4

possibile ways for drawing 2 kings and 3 queens

= 6*4 = 24 ways

possibile ways for drawing 5 cards out of 52 cards

= C(52, 5) = 52!/(5!*(52-5)!) = 2598960

now compute for the probability:

probability of drawing 5 cards and receiving 2 kings and 3 queens

= 24/2598960

= 1/108290