Question

You are dealt five cards from a standard deck of 52. Find the probability of being dealt a full house, i.e., three cards of one kind plus a pair of cards of another kind (see Exercise C.10 in Appendix C of the textbook for a description of all the poker hands).Probability =

Answer #1

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.
Determine the probability that all five of these cards
are Spades.
Determine the probability that exactly 3 of these cards
are face cards.
Determine the...

Three cards are dealt from a deck of 52 playing cards. Find the
probability that a 3 card hand consists of: a. All hearts ( Answer
is P(13,3)) b. An Ace, King and Queen of the same suit (Answer is
P(4)) c. A pair of 2s (Answer is C(4,2) x C(48,1) Need help setting
up the problem

Two cards are dealt from a standard deck of 52 cards. Find the
probability of getting:
(a) A face card, followed by the ace of spades?
(b) At least one red card?

Consider a standard deck of 52 cards. What is the probability of
the event B that we are dealt a full house consisting of 3 aces and
2 kings? What is the probability of the event C that we are dealt a
full house (any full house)?

1. A five-card poker hand is dealt from a standard deck of
cards. Find the probability that:
a. The hand contains exactly 3 Clubs and exactly 1
Spade.
b. The hand contains at least two aces
c. The hand contains all cards from the same suit
d. The hand contains three cards from one suit and two cards
from different suit
e. The hand contains no more than one spade

Five cards are dealt from a standard 52-card deck. What is the
probability that the sum of the faces on the five cards is 48 or
more? In this case, Jacks, Queens, and Kings count as 0s. So only
the number cards Ace (=1) to 10 have numeric face value.

Assume that you are dealt seven cards from a well-shuffled
standard deck.
(a) What is the probability of being dealt 2 triples (but not 4
of a kind)?
(b) What is the probability of being dealt three of one kind and
four of another? (c) What is the probability of 7 hearts given that
you have at least 6 hearts? (Please work this one out completely
for full credit; that is, do not leave your answer in terms of n...

(52 cards) Five cards are dealt from a shuffled deck. What is
the probability that the 5 cards contain: 1) exactly one ace 2) at
least one ace

If 5 cards are dealt from a shuffled deck of 52 cards, find the
probability that none of the 5 cards are picture cards.
A. 1/216580
B. 3/13
C. 108257/108290
D. 33/108290

Probabilities with a deck of cards. There are 52 cards in a
standard deck of cards. There are 4 suits (Clubs, Hearts, Diamonds,
and Spades) and there are 13 cards in each suit. Clubs/Spades are
black, Hearts/Diamonds are red. There are 12 face cards. Face cards
are those with a Jack (J), King (K), or Queen (Q) on them. For this
question, we will consider the Ace (A) card to be a number card
(i.e., number 1). Then for each...

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