Two cards are drawn simultaneously from a well shuffled pack of cards. Find the probability of both being Honor cards.

Sure, let's solve this step by step.

Step 1: Understand the problem In a standard deck of 52 cards, there are 16 honor cards (4 each of Aces, Kings, Queens, and Jacks).

Step 2: Calculate the total number of ways to draw 2 cards from the deck The total number of ways to draw 2 cards from a deck of 52 cards is given by the combination formula C(n, r) = n! / [(r!(n-r)!], where n is the total number of items, and r is the number of items to choose. So, the total number of ways to draw 2 cards from a deck of 52 cards is C(52, 2) = 52! / [(2!(52-2)!] = 1326.

Step 3: Calculate the number of ways to draw 2 honor cards Similarly, the number of ways to draw 2 honor cards from the 16 honor cards is C(16, 2) = 16! / [(2!(16-2)!] = 120.

Step 4: Calculate the probability The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes. So, the probability of drawing 2 honor cards is 120 / 1326 = 0.0905.

So, the probability of drawing 2 honor cards from a well shuffled deck of 52 cards is approximately 0.0905 or 9.05%.