How many possible outcomes with 3 cards?

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.

How many possible combinations of 3 cards?

1 Expert Answer

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 ways can you choose 3 cards with replacement?

3rd Card (again) could be chosen in 52 ways for the same reason. Thus, total number of ways is: 52*52*52 = 1,40,608.

What is the probability of getting a 3 from a deck of 52 cards?

The probability of randomly drawing from a sorted deck a 3 is 4/52 or 1/13. Without replacing the first card drawn the probability of drawing a 5 is 4/51. The probability of drawing a 3 and then a 5 is 1/13*4/51=0.0060. With replacing the first card drawn the probability of drawing a 5 is 4/52 or 1/13.

What is the probability of drawing a 3 card?

The probability of drawing a spade or a 3 from a well shuffled deck of 52 cards is 17/52.

How many ways can you arrange a deck of cards? - Yannay Khaikin

How many 3 cards are in a deck?

There are four threes in a deck of cards, each of them bearing the four suits; Clubs, Hearts, Spades and Diamonds.

What is the probability of 3 black cards?

Therefore, the probability of drawing three black cards in a row is around 12% or 0.12 .

What is the probability of 3 cards all red?

According to theoretical probability the chance of getting 3 red cards is 0.05. It should happen 5% of the time.

What is the probability of 3 spades?

Therefore, the probability of getting 3 spades is 0.0129.

What is the probability that all 3 cards are jacks?

Initially, there are 52 cards consisting of 4 jacks. To conclude, the probability of drawing three jacks from a deck of cards in three draws if you do not replace the cards before making the next draw is around 0.00018 .

What is the probability of drawing 3 cards without replacement?

Since the first card was removed from the deck (not replaced) this changed the probability for the second card. The second card pull was dependent on the first. Thus, there is a 111105 chance of pulling three face cards in a row, without replacement.

What is the probability of getting 3 cards of same color?

The probability that three randomly selected cards are the same color is two out of eight equal possibilities, or 1/4.

How many possible hands are there in 3 card poker?

of ranks, there are 4 choices for each card except we cannot choose all in the same suit. Hence, there are 274(4³-4) = 16,440 high card hands. If we sum the preceding numbers, we obtain 22,100 and we can be confident the numbers are correct. Here is a table summarizing the number of 3-card poker hands.

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

In how many ways can a three card be drawn from 52 playing cards? 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 52 factorial deck of cards?

The number of possible ways to order a pack of 52 cards is '52! ' (“52 factorial”) which means multiplying 52 by 51 by 50… all the way down to 1. The number you get at the end is 8×10^67 (8 with 67 '0's after it), essentially meaning that a randomly shuffled deck has never been seen before and will never be seen again.

How many ways can you draw exactly 3 spades?

13C3 = 13! / (10! 3!) = 286 ways to have three spades.

What is the probability of getting 3 clubs?

There are also 13 clubs in a deck. Now, 3 cards can be chosen from 52 cards in 52C3 52 C 3 ways. Meanwhile, there are 13C3 13 C 3 ways to choose 3 clubs. The answer is 11850≈0.0129 11 850 ≈ 0.0129 .

What is a set of 3 in cards?

A prial, pair royal, gleek or triplet is a set of 3 cards of equal rank and a quartet or, in some older games, a mournival, is one of four cards of the same rank.

What does J stand for in cards?

In playing cards: Indices. … therefore replaced with J for jack. Originally this was the name applied to the knave of trump in the old game of all fours, which had already achieved wide popularity in preference to the archaic-sounding knave in other games.

How is 3 card played?

Rules. Three Card Poker is played as heads-up between the player's hand and the dealer's hand. After all ante wagers are placed, three cards are dealt to each player and the dealer. Players have a choice to either fold or continue in the game by placing a "play" wager equal to their ante.

Is there any strategy to 3-card poker?

BASIC 3 CARD POKER STRATEGY

The usual strategy for when to make the Play wager is to bet whenever you have Queen-6-4 or better, including any time your high card is an Ace or a King, no matter how high your other two cards are, and also anytime your hand is Q-7 or better, regardless of your third card.

Is 3-card poker beatable?

It's at least as good as any other table game out there, and in terms of odds, it's better than most of them. There isn't a winning strategy for 3 card poker, either, so you'll be losing some money in the long run, but again, the same is true for pretty much all casino games.

What is the best 3 card Hand?

Three aces is the highest ranked three of a kind and three 2's is the lowest ranked three of a kind. A hand that consists of three cards that are in consecutive ranking, but that are not the same suit. Ace, king, and queen are the highest ranked straight and ace, 2, 3 is the lowest ranked straight.