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From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?1152557352561221

Question

From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?1152557352561221

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Solution

To find the probability of both cards being kings when drawn together from a pack of 52, we need to understand that there are 4 kings in a pack of 52 cards.

Step 1: Find the total number of ways to draw 2 cards from the pack. This can be calculated using 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 52 is C(52, 2) = 52! / 2!(52-2)! = 1326.

Step 2: Find the total number of ways to draw 2 kings from the 4 available. Using the same combination formula, the number of ways to draw 2 kings from 4 is C(4, 2) = 4! / 2!(4-2)! = 6.

Step 3: The probability of an event is the number of favorable outcomes divided by the total number of outcomes. So, the probability of drawing 2 kings is 6 / 1326 = 0.004524886877828055.

So, the probability of both cards being kings is approximately 0.0045 or 0.45%.

This problem has been solved

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