ProbabilityFrom a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?Options1/2211/1192/2213/123

To solve this problem, we need to understand the basics of probability and combinations.

Step 1: Understand the problem We have a deck of 52 cards (4 suits: hearts, diamonds, clubs, spades, each suit has 13 ranks: numbers 2 through 10, a jack, a queen, a king, and an ace). We are drawing 2 cards and we want to find the probability that both cards are kings.

Step 2: Calculate total outcomes The total number of ways to draw 2 cards from a deck of 52 cards is given by the combination formula "n choose r" which is n! / [r!(n-r)!] where n is the total number of items, and r is the number of items to choose. So, the total outcomes = 52C2 = 52! / [2!(52-2)!] = 1326.

Step 3: Calculate favorable outcomes There are 4 kings in a deck of 52 cards. The number of ways to draw 2 kings from 4 is given by the combination formula "n choose r" which is n! / [r!(n-r)!]. So, the favorable outcomes = 4C2 = 4! / [2!(4-2)!] = 6.

Step 4: Calculate probability The probability of an event is given by the ratio of the number of favorable outcomes to the number of total outcomes. So, the probability = favorable outcomes / total outcomes = 6 / 1326 = 1/221.

So, the probability of both the cards being kings is 1/221. Therefore, the correct option is 1/221.