Answer
Probability 3 cards are picture cards = $\frac{12_{{C}{_{3}}}}{52_{{C}{_{3}}}}$ = $\frac{11}{1105}$
Work Step by Step
Combination for drawing 3 card out of picture card $12_{{C}{_{3}}}$ = $\frac{12!}{(12 - 3)! 3!}$ = $\frac{12\times11\times10\times9!}{(9)! 3\times2\times1}$ = 220
Combination for drawing 3 card out of 52 cards $52_{{C}{_{3}}}$ = $\frac{52!}{(52 - 3)! 3!}$ = $\frac{52\times51\times50\times49!}{(49)! 3\times2\times1}$ = 22100
Probability 3 cards are picture cards = $\frac{12_{{C}{_{3}}}}{52_{{C}{_{3}}}}$ = $\frac{220}{22100}$ = $\frac{11}{1105}$
