if yuo are dealt 4 cards form a shuffled deck of 52, find the probabilty of getting three queens and one king

Question

Counting Methods and Probability Theory

 

Answer 1

# of ways to get 3 queens: ₄C₃ = 4

 

# of ways to get one king: ₄C₁ = 4

 

# of ways to choose 4 cards: ₅₂C₄

 

P(3Q, 1K) = 4•4/(₅₂C₄₎ ...you can do this calculation (I left my calculator in my car).