Question

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)?

Answer #1

3 )One is dealt 6 cards from a standard poker deck of 52
cards.
a)What is the probability of getting 3 aces and 3 kings?
b)What is the probability of getting the same except both pairs
kings and aces are of the same suit (e.g., the same suit is missing
from both).

You deal 5 cards from a well-shuffled full deck. (note that
there are 52 cards in a full deck and among these, there are
exactly 4 aces and 4 kings (likewise 4 of each of the 13 ranks) in
the full deck) a) What is the probability that you get exactly 3
aces among the 5 cards? b) What is the probability that you get
exactly 2 kings among the 5 cards? c) What is the probability that
you get...

A standard deck consists of 52 cards of which 4 are aces, 4 are
kings, and 12 (including the four kings) are "face cards" (Jacks,
Queens, and Kings). Cards are dealt at random without replacement
from a standard deck till all the cards have been dealt. Find the
expectation of the following. Each can be done with almost no
calculation if you use symmetry.
a) The number of aces among the first 5 cards
b) The number of face cards...

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 =

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...

A standard deck of cards contains 4 suits (Hearts, Diamonds,
Spades, and Clubs) each containing 13 ranks (Ace, 2, 3, 4, 5, 6, 7,
8, 9, 10, Jack, Queen, King) for a total of 52 cards.
In a typical game of poker, you are dealt five cards (without
replacement) from a deck of 52 cards. How many Full Houses are
possible?
(A full house is a hand consisting of three of one rank and two
of another. For instance, three...

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.

Three cards are randomly drawn from a standard deck of 52 cards.
What is the probability of getting at least two kings? (round to 3
decimals)

A standard deck of cards has 52 members consisting of 4 suits
each with 13 members (2, 3, …, 10, J, Q, K, A). Five cards are
dealt from the randomly mixed deck. What is the probability that
all cards are the same suit?

Three cards are dealt, one after the other, from an shuffled
52-card fair deck.
a) What is the probability of getting three Kings if the cards
are replaced after being chosen?
b) If the cards are not replaced after being chosen, why is it
wrong to say that the probability of getting three Kings is
correctly given in part a? Explain precisely. What is the correct
probability of this event?

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