Q: Probability theory of drawing an ace from a regular deck of cards?

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The probability of drawing a king of hearts from a regular deck of cards is 1 in 52 because there is only one king of hearts in the standard 52 card deck.

1 in 52

7/26

The probability of drawing a pair from a standard deck of 52 cards is 3 in 51, or 1 in 17, or about 0.0588.

The probability of drawing a 10 out of 52 cards is 4 in 52, or 1 in 13, or about 0.07692.

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It is 1/13.

The probability of drawing a king of hearts from a regular deck of cards is 1 in 52 because there is only one king of hearts in the standard 52 card deck.

On a random draw of a single card, the probability is 3/4.

1 in 52

7/26

There are 4 kings and 52 cards so the probability of drawing a king are 4/52 or 2/26.

The probability of drawing a pair from a standard deck of 52 cards is 3 in 51, or 1 in 17, or about 0.0588.

The probability of drawing a 10 out of 52 cards is 4 in 52, or 1 in 13, or about 0.07692.

The probability of drawing the first face card is 12 in 52. The probability of drawing the second is 11 in 51. The probability of drawing the third is 10 in 50. Thus, the probability of drawing three face cards is (12 in 52) times (11 in 51) times (10 in 50) or (1320 in 132600) or about 0.009955.

The probability is 11/13.

The probability of drawing a 3 out of 52 cards is 4/52 or 1/13 or 0.0769 or 7.69%.

What is the probability of drawing a heart or a king in a regular deck of playing cards? Show work or explain answer.