Questions

How many 3 card hands can you get from a deck of 52 cards?

How many 3 card hands can you get from a deck of 52 cards?

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) 720 straights (12 ranks, and 4³-4 = 60 ways to suit them.)

How many ways can you draw 3 cards?

Each card has the Probability of ( 1/(total number of cards left in the pack )) of being drawn. Therefore there are: ( 52 )*( 51 )*( 50 ) = possible combinations of 3 cards being drawn (cards are drawn without replacement) or: ( 132,600 ) possible combinations.

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What is the probability that a card chosen at random from a deck of cards will be either a king or a heart?

We are interested in the probability of the event E = A ∪ B, namely drawing a King or a heart. The odds of drawing a King or a heart are P(E)/P(E’) = (4/13)/(9/13) = 4/9. What is the probability of getting at least one black card in a 7-card hand off a shuffled 52-card deck?

What is the probability of randomly pulling a heart from the deck?

P(Heart) is 13/52 or 0.2500. Since there is only one Jack of Hearts, P(Jack and Heart) is 1/52 or 0.0192. Hope this helps!

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 is the probability of drawing four hearts in a row?

With replacement, the probability of drawing four hearts in a row is 1 in 256. There are 13 cards of each suit in a deck of cards, 1/4 of the deck.

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.