Number of ways to select r items from n, nCr = n!/(r! x (n-r)!)
There are 13 cards in each suite
P(5 clubs, 1 spade, 1 diamond and 1 hearts) = (13C5 x 13C1 x 13C1 x 13C1)/52C8
= 1287x13x13x13/752,538,150
= 0.003757
3.4.59 Find the probability of being dealt five clubs and three cards with one card of...
A six-card poker hand is dealt from a standard deck of 52 cards. Find the probability that has three cards of one suit, two cards of a second suit and one card of a third suit.
You are dealt a hand of three cards, one at a time. Find the probability of each of the following. a) The first red card you get is the third card dealt. b) Your cards are all hearts. c) You get no clubs. d) You have at least one king.
You are dealt one card from a standard 52-card deck. Find the probability of being dealt the ten of clubs The probability of being dealt the ten of clubs is (Type an integer or a simplified fraction.)
R. Given a standard deck of 52 cards with 5 cards being dealt to a player. (a) Find the probability that the player's hand will have all 5 cards as spades. (4 marks) (b) Now find the probability that the player's hand is a flush. Note that a flush is a 5 card poker hand with all 5 cards being the same suit. (4 marks)
A 10-card hand is dealt from an ordinary deck of 52 cards. Find the probability that there are exactly 4 cards of one suit and 3 in two other suits.
4. Playing poker, you are dealt five cards from a deck of 52 playing cards. (Remember there are 4 suits (spades, hearts, diamonds, clubs) of 13 cards in each suit (A,K,Q,J,10,9,8,7,6,5,4,3,2).) What is the probability of being dealt at least one Ace in those first 5 cards? (without replacement) _________________ 5. Six books are randomly stacked on a desk. What is the probability that they will, by chance, be perfectly stacked in alphabetical order? ______________ 6. A group of 10...
In straight poker, five cards are dealt to each player from a deck of ordinary playing cards. What is the probability that a player will be dealt a flush (i.e., five cards all of one suit)?
You are dealt a hand of three cards, one at a time. Find the probability of each of the following. a) The first club you get is the third card dealt. b) Your cards are all spades. c) You get no black cards. d) You have at least one heart.
If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are picture cards. The probability is (Round to six decimal places as needed.)
Sixteen cards are dealt froma deck of 52 cards. (a) What is the probability that the ace of spades is one of the 16 cards? (b) Suppose one of the 16 cards is chosen at random and found not to be the ace of spades. What is the probability that none of the 16 cards is the ace of spades? (c) Suppose the experiment in part (b) is repeated a total of 10 times (replacing the card looked at each...