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How many ways can 3 cards be selected from a 52 card deck?

Posted on April 27, 2020 by Author

Table of Contents

  • 1 How many ways can 3 cards be selected from a 52 card deck?
  • 2 What is the probability of getting a queen if you use 3 decks of cards?
  • 3 What is the probability of getting a 4 or a queen?
  • 4 What is the probability of getting 3 from a deck of cards?
  • 5 What is the probability of getting a full hand in blackjack?
  • 6 What is the probability of getting a full hand with 52 cards?

How many ways can 3 cards be selected from a 52 card deck?

The first card can be drawn in 52 different ways, the second card in 51 ways and the third in 50 ways. Therefore, there are 52*51*50 ways of drawing three cards from the pack of 52 playing cards. There are 132600 ways are there.

What is the probability of getting a queen if you use 3 decks of cards?

To find the P(QQQ), we find the probability of drawing the first queen which is 4/52. The probability of drawing the second queen is also 4/52 and the third is 4/52. We multiply these three individual probabilities together to get P(QQQ) = P(Q)P(Q)P(Q) = (4/52)(4/52)(4/52) = .

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How many different 3 card hands are possible?

There are 52C3 = 22,100 three-card poker hands: 48 straight flushes (12 in each suit, from Q-K-A down to A-2–3, in each of the four suits) 52 three-of-a-kind (4C3 = 4 ways to have three cards in each of the 13 ranks)

What is the probability of getting a 4 or a queen?

We have 4 suites in a deck : Spades, Hearts, Diamonds and Clubs. Each of them has a Queen so there are four Queens in a deck. So the probability of drawing out a card that is queen is 4 out of 52 cards (4/52). We can simplify this and get the 1/13.

What is the probability of getting 3 from a deck of cards?

A standard deck of playing cards has four suits — each suit has 3 face cards. That means a standard deck already contains twelve face cards, so the probability of getting three is 100\%. If that’s the case, then you calculate 12/52 * 11/51 * 10/50 to get your answer. It depends.

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What are the odds of getting a pair on the third card?

There are now 3 cards in the deck, which if dealt to you, would give you a pair, so the chances of not getting a pair on the second card are 48/51. Now there are 6 cards in the deck which will give you a pair if you receive them, so the chances of not getting a pair on the third card is 44/50.

What is the probability of getting a full hand in blackjack?

Your first card can be anything. So you have 52 choices out of 52 cards (because no matter what card you draw you can get a full hand of the same suite). Your second card, has to be the same suit as your first card, so probability of that is 12 51 because there are 13 of each suite and you have to subtract 1 for the one card you have drawn.

What is the probability of getting a full hand with 52 cards?

So you have 52 choices out of 52 cards (because no matter what card you draw you can get a full hand of the same suite). Your second card, has to be the same suit as your first card, so probability of that is $\\frac{12}{51}$because there are 13 of each suite and you have to subtract 1 for the one card you have drawn.

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