Answer:
0.0015
Step-by-step explanation:
Ways of dealing combinations of 7 cards randomly from a randomly shuffled standard 52 card deck = 52!/(45!)(7!) = 133,784,560.
Combinations of 6 face cards from among 12 face cards = 12!/(7!)(6!) = 132. Combinations of 1 non-face cards from among (52–12)!/(38!)(1!) = 1560.
Combinations of 5 face cards and 2 non-face cards = 132×1560 = 205920
Probability as requested = 205,920/133,784,560 = 0.001539= 0.0015