A poker hand consisting of 7 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactly 6 face cards. Round your answer to 4 decimal places as needed.

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

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.