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How many combinations of 3 playing cards from a 52 card deck exist?

Posted on March 3, 2021 by Author

Table of Contents

  • 1 How many combinations of 3 playing cards from a 52 card deck exist?
  • 2 What is the probability of drawing a 3 of Hearts from a deck of cards?
  • 3 What is the probability that all three cards are Ace?
  • 4 What is the probability that all of the cards drawn are hearts?
  • 5 What’s the probability of drawing a heart?
  • 6 What is the probability that the three cards drawn from a pack of 52 cards are all red?
  • 7 What is the probability of a jack in a deck of cards?
  • 8 What is the probability of getting a full hand with 52 cards?
  • 9 How many cards are drawn from a deck of 52 cards?

How many combinations of 3 playing cards from a 52 card deck exist?

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 drawing a 3 of Hearts from a deck of cards?

This is probability question is solved by multiplying your odds of drawing a heart from a deck of presumably 52 cards, three times in a row. Each time the amount of cards in the deck decreases by 1 and the odds of finding a heart. Thats about 1.29 percent chance.

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What is the probability that all three cards are Ace?

The probability that the third card drawn will match the first two is 2/50 = 1/25. Therefore, the probability that all three cards drawn are either aces or jacks is: (2/13) * (1/17) * (1/25) = 2/5,525 = 0.000362.

How many combinations of 3 cards are there?

To answer a), we note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52*51*50=132,600 ways.

How many 3 cards are in a deck of cards?

There are four threes in a deck of cards, each of them bearing the four suits; Clubs, Hearts, Spades and Diamonds. In total there are fifty-two cards, and that’s because each suit has thirteen cards in it, from Ace to King.

What is the probability that all of the cards drawn are hearts?

The probability that both cards that are drawn are hearts is 117 .

What’s the probability of drawing a heart?

First, we have to find the probability of drawing a heart. So we know that in a 52 card deck, there are 13 hearts, so our probability of drawing a heart on the first try is 13/52.

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What is the probability that the three cards drawn from a pack of 52 cards are all red?

= 2/17.

What is the probability of drawing 3 cards that are all queen from a deck of cards without replacement )?

Probability of drawing a club, not including a club queen = 12/51 = 4/17. Probability of drawing a queen = 4/50 =2/25. There are 3!

How many combinations are in a 52 card deck?

If you were to shuffle a deck of 52 cards and lay them out the possible order combinations are practically endless. The total number of combinations is a factorial of 52, or 52!, which translates to 8.06e+67, a number that means absolutely nothing to me.

What is the probability of a jack in a deck of cards?

Find the probability of: In a playing card there are 52 cards. Number of favourable outcomes i.e. ‘2’ of spades is 1 out of 52 cards. Number of favourable outcomes i.e. ‘a jack’ is 4 out of 52 cards.

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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How many cards are drawn from a deck of 52 cards?

Three cards are drawn in succession and without replacement from a standard deck of 52 cards. What is the probability that they are all face cards ( jack, queen, king)?

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.

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