What is the probability that the card drawn is a five?

about one in 2000
So drawing a five-card hand of a single selected suit is a rare event with a probability of about one in 2000. If you want the probabability that any one of a number of disjoint events will occur, the probabilities of the single events can be added.

How many ways can three of the same card be selected from the deck?

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.

What is the probability of drawing two of the same card?

Once a card of a certain unit is drawn, there are just 3 cards of the same unit left, so the probability of drawing the second of the same unit is 3/51=1/17. The product of two probabilities is the total probability to draw two cards of the same given unit, that is 1/(13*17)=1/221.

What is the chance of a 5 card hand containing all cards of the same suit?

0.0000153908
All 5 cards are from the same suit and they form a straight (they may also be a royal flush). The number of such hands is 4*10, and the probability is 0.0000153908.

How many 3 cards hands are there that have exactly three cards of the same rank?

A straight flush is completely determined once the smallest card in the straight flush is known. There are 48 cards eligible to be the smallest card in a straight flush. Hence, there are 48 straight flushes. 3-of-a-kind hands….Abstract:

hand	number	Probability
flush	1,096	.0496
pair	3,744	.1694
high card	16,440	.7439

How many ways can of the same card be selected from the deck?

Here each deck contains 4 twos, 4 threes, and so on. And total 13. To find how many ways can two of the same card be selected from the deck. Therefore, 13 = 78 ways.

What if both players have Exodia?

If both players have all five pieces of “Exodia the Forbidden One” in their hands at the start of the Duel, then the Duel ends in a DRAW.

How many cards are drawn from a deck without replacement?

Three cards are drawn from a deck without replacement. What is the probability they all have the same suit?

How many suits of cards can be drawn at once?

Any of the suits can be drawn initially, as long as the next four cards are of the same suit as the original card.  There are 13 of each suit in the deck, so after the first card is drawn, there are only 12 of that suit, then 11 left for the third card, 10 left for the fourth card, and 9 left for the final card.

How many ways to pick two cards from a deck of 52?

There are 204 ways to pick each of the following type of card first: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and A. There are 13 different types of cards that could be picked first. So there are 13*204 = 2, 652 total ways to pick two cards from a deck of 52 without replacing the first card before drawing the second card.

What is the probability of drawing n cards from a deck?

Total ways of drawing n cards from a standard 52 -card deck is ( 52 n) = 52! n! ( 52 − n)! = n 52 Total ways of drawing n cards from 13 cards in a single suit is ( 13 n) = 13! n! ( 13 − n)! = n 13 Probability all n cards are from the same suit is: p ( n) = 4 × n 13 n 52 = 4 × 13! ( 52 − n)! 52! ( 13 − n)! For consecutive values of n tha…