Question
In: Math
(Combinations -- Poker Probabilities) Suppose you deal a poker hand of 5 cards from a standard...
(Combinations -- Poker Probabilities) Suppose you deal a poker hand of 5 cards from a standard deck
(a) What is the probability of a flush (all the same suit) of all red cards?
(b) What is the probability of a full house where the 3-of-a-kind include two black cards, and the 2-of-a-kind are not clubs?
(c) What is the probability of a pair, where among the 3 non-paired cards, we have 3 distinct suits?
Hint: These are straight-forward modifications of the formulae given in lecture. You may quote formulae already given in lecture or lab without attribution and without explaining how to get the formula.
Solutions
milcah answered 4 months agoRelated Solutions
A flush (5 cards from the same suit) is an excellent hand in poker. If there...
A flush (5 cards from the same suit) is an excellent hand in
poker. If there are 13 cards in each of four suits in a deck of
playing cards and there are 5 cards in a hand, how many flush hands
are possible?
Hands = ?
A poker hand consists of five cards randomly dealt from a standard deck of 52 cards....
A poker hand consists of five cards randomly dealt from a
standard deck of 52 cards. The order of the cards does not matter.
Determine the following probabilities for a 5-card poker hand.
Write your answers in percent form, rounded to 4 decimal
places.
Determine the probability that exactly 3 of these cards
are Aces.
Answer: %
Determine the probability that all five of these cards
are Spades.
Answer: %
Determine the probability that exactly 3 of these cards
are face cards....
A poker hand consists of five cards randomly dealt from a standard deck of 52 cards....
A poker hand consists of five cards randomly dealt from a
standard deck of 52 cards. The order of the cards does not matter.
Determine the following probabilities for a 5-card poker hand.
Write your answers in percent form, rounded to 4 decimal
places.
Determine the probability that exactly 3 of these cards are
Aces. Answer: %
Determine the probability that all five of these cards are
Spades. Answer: %
Determine the probability that exactly 3 of these cards are...
A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards....
A poker hand consists of 5 cards dealt from an ordinary deck of
52 playing cards. How many different hands are there consisting of
four cards of one suit and one card of another suit?
A) A poker hand consists of five cards randomly dealt from a standard deck of 52...
A) A poker hand consists of five cards randomly dealt from a
standard deck of 52 cards. The order of the cards does not matter.
Determine the following probabilities for a 5-card poker hand.
Write your answers in percent form, rounded to 4 decimal places.
Determine the probability that exactly 3 of these cards are Aces.
Answer: % Determine the probability that all five of these cards
are Spades. Answer: % Determine the probability that exactly 3 of
these cards...
What is the probability that a poker hand (5 cards) be ‘three of a kind’? This...
What is the probability that a poker hand (5 cards) be ‘three of
a kind’? This means that there are exactly three cards of the same
face value (2,3,4,5,6,7,8,9,10,J,Q,K, or A), and two other cards
with different face values.
the probability of getting a single pair in a poker hand of 5 cards is approximately...
the probability of getting a single pair in a poker hand of 5
cards is approximately .42. Find the approximate probability that
out of 1000 poker hands there will be at least 450 with a single
pair.
A five-card poker hand dealt from a standard 52-card deck of playing cards is called a...
A five-card poker hand dealt from a standard 52-card deck of
playing cards is called a three-of-a-kind hand if it contains
exactly three cards of the same rank (e.g. 3 aces and 2 other
cards). How many distinct three-of-a-kind hands can be dealt with?
Calculate a numeric answer.
1. In the game of poker, five cards from a standard deck of 52 cards are...
1. In the game of poker, five cards from a standard deck of 52
cards are dealt to each player.
Assume there are four players and the cards are dealt five at a
time around the table until all four
players have received five cards.
a. What is the probability of the first player receiving a royal
flush (the ace, king, queen, jack, and
10 of the same suit).
b. What is the probability of the second player receiving a...
n a poker hand consisting of 5 cards, find the probability of holding (a) 2 jacks;...
n a poker hand consisting of 5 cards, find the probability of
holding (a) 2 jacks; (b) 1 diamond and 4 spades.
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