Two cards are drawn at random from a pack of52 cards. The probability of these two being aces is

To solve this problem, we need to understand that we are dealing with the concept of probability. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.

Step 1: Identify the total number of outcomes A deck of cards has 52 cards. So, when drawing 2 cards, the total number of outcomes is "52 choose 2". This is a combination because the order in which we draw the cards does not matter. We calculate it as follows:

52C2 = 52! / [(52-2)! * 2!] = 1326

Step 2: Identify the number of favorable outcomes We want both cards to be aces. There are 4 aces in a deck. So, the number of ways to draw 2 aces from 4 is "4 choose 2". We calculate it as follows:

4C2 = 4! / [(4-2)! * 2!] = 6

Step 3: Calculate the probability Now we can calculate the probability by dividing the number of favorable outcomes by the total number of outcomes:

P(2 aces) = 6 / 1326 = 0.00452488688

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