Question

Can someone explain a,b and c? The answers are correct I believe but I just need a more clear explenation on the formulas and final answers

If 2 cards are drawn from a well-shuffled deck of 52 playing cards, what are the probabilities of getting

Answer:

Total no of ways of drawing 2 cards from a well-shuffled deck of 52 playing cards = ⁵²C₂ = 1326

(a)        two spades;

Number of ways getting 2 spades / total number of ways = (¹³C₂)/1326 = 78/1326 = 0.0588

(b)        two aces;

Number of ways getting 2 aces / total number of ways = (⁴C₂)/1326 = 4/1326 = 0.003

(c)        a king and a queen?

            13*13/1326 = 0.12745

Answer 1