Two cards are drawn without replacement from a standard deck of 52 52 playing cards. What is the probability of choosing a king for the second card drawn, if the first card, drawn without replacement, was a jack? Express your answer as a fraction or a decimal number rounded to four decimal places.

Question

Karen Mcmillan

Mathematics

14 January, 22:01

Two cards are drawn without replacement from a standard deck of 52 52 playing cards. What is the probability of choosing a king for the second card drawn, if the first card, drawn without replacement, was a jack? Express your answer as a fraction or a decimal number rounded to four decimal places.

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Answers (1)

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Callie Melendez · Answer 1

Probability = 4 / 51 = 0.0784

Step-by-step explanation:

We have a deck with 52 cards, and in this deck we have a total of 4 king cards.

If the first card drawn is a jack, now we have only 51 cards left, and we still have 4 king cards in the deck.

So the probability of drawing a king for the second card is the number of king cards (4) over the number of cards in the moment (51):

Probability = 4 / 51 = 0.0784