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%.

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 Kings, Queens, Jacks, and Aces). We are asked to find the probability that both cards drawn are honor cards.

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, r is the number of items to choose, and '!' denotes factorial. So, the total number of ways to draw 2 cards from a deck of 52 is C(52, 2) = 52! / [2!(52-2)!] = 1326.

Step 3: Calculate the total number of ways to draw 2 honor cards Similarly, the total number of ways to draw 2 honor cards from the 16 available 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 favorable outcomes to the total 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%.