There are 26 red cards and 26 black cards in a standard deck.
So, the probability of selecting a red card is 1/2.
There are 2 black queen in a standard deck : the queen of spades and the queen of clubs.
So, the probability of selecting a black queen is 2/52, or 1/26.
There are 4 of the 4 cards in a standard deck : 4 of spades, 4 of clubs, 4 of diamonds and 4 of hearts.
And, there are 12 face cards : jack, queen, king, each has spades, clubs, diamonds and hearts.
So, the probability of selecting a 4 or a face card is 16/52, or 4/13.
The probability of them all happening at the same time is : 4/13 x 1/26 x 1/2 = 4/676, or 1/169.
