Two cards are drawn simultaneously from a well shuffled pack of cards. Find the probability of both being Honor cards.Options2/22120/22123/66329/221

In a standard deck of 52 cards, there are 16 honor cards (four each of Aces, Kings, Queens, and Jacks).

Step 1: Calculate the total number of ways to draw 2 cards from the deck. This is given by the combination formula C(n, r) = n! / [r!(n-r)!], where n is the total number of items, r is the number of items to choose, and "!" denotes factorial. So, the total number of ways to draw 2 cards from 52 is C(52, 2) = 52! / [2!(52-2)!] = 1326.

Step 2: Calculate the total number of ways to draw 2 honor cards from the 16 available. This is given by the same combination formula, so the total number of ways to draw 2 honor cards is C(16, 2) = 16! / [2!(16-2)!] = 120.

Step 3: The probability of an event is given by the ratio of the favorable outcomes to the total outcomes. So, the probability of drawing 2 honor cards is 120 / 1326 = 0.0905.

So, the closest option to this result is 120/221.