What is the probability of getting at least one king while picking 2 cards from a deck at random?

Question

Accepted Answer

The probability of getting at least one king while picking 2 cards from a deck at random is 15/221.

To calculate the probability, we need to find the number of favorable outcomes and the total number of possible outcomes.
There are 4 kings in a deck of 52 cards.
The number of ways to choose 2 cards from a deck of 52 is given by the combination formula C(52, 2) = 1326.
The number of ways to choose 2 cards without any king is given by the combination formula C(48, 2) = 1128.
Therefore, the number of ways to choose 2 cards with at least one king is 1326 - 1128 = 198.
The probability is calculated as the ratio of favorable outcomes to total outcomes, which is 198/1326 = 15/221.

Accepted Answer

here are

$(523) = 22, 100 "> (52 2) = 1.326$ combinations of three cards from a 52-card deck.

There are $(483) = 17, 296 "> (48 2) = 1,128$ that you can form without using any of the four kings. So the chances of getting at least one king is $1 - 17, 296 22, 100 \approx 0.2174 "> 1 - 1128 1326 \approx 0.1493$

What is the probability of getting at least one king while picking 2 cards from a deck at random?

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