If you are dealt 5 cards from a shuffled deck of 52​ cards, find the probability of getting two queens and three kings.

Question

​(Round to six decimal places as​ needed.)

Answer 1

K = king

Q = queen

P(2 queens and 3 kings) = P(Q₁)*P(Q₂)*P(K₁)*P(K₂)*P(K₃)

= (4/52)*(3/51)*(4/50)*(3/49)*(2/48)

= 288/311,875,200

= 9.234463*10^-7‬ or 0.0000009234463