Four cards are drawn at random from a pack of playing cards. The probability of getting exactly two cards from the same suit and the remaining two cards from two different suits is

Step-by-step solution

Four cards are drawn at random from pack of playing cards. Then, required probability aligned & = ( ^4 C₁ ¹³ C₂ ) ( ^3 C₂ ¹³ C₁ ¹³ C₁ ) ⁵² C₄ & = 4 13 12 2 3 13 13 52 51 50 49 4 3 2 1 = 18 4 13 13 17 25 49 = 72 169 425 49 aligned