From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

Step 1: Identify the total number of outcomes. In a standard deck, there are 52 cards.

Step 2: Identify the total number of favorable outcomes. There are 4 kings in a deck of 52 cards. So, the number of ways to draw 2 kings out of 4 is "4 choose 2".

Step 3: Use the combination formula for "n choose r" which is n! / [r!(n-r)!]. Here, n is the total number of kings (4) and r is the number of kings to be drawn (2). So, "4 choose 2" equals 4! / [2!(4-2)!] = 6.

Step 4: Similarly, the total number of ways to draw 2 cards out of 52 is "52 choose 2" = 52! / [2!(52-2)!] = 1326.

Step 5: The probability of both cards being kings is the number of favorable outcomes divided by the total number of outcomes = 6 / 1326 = 0.004524886877828055.

So, the probability of drawing 2 kings at random from a deck of 52 cards is approximately 0.0045 or 0.45%.