Question

If you are dealing from a standard deck of 52 cards a) how many different 4-card hands could have at least one card from each suit? b)how many different 5-card hands could have at least one spade? c) how many different 5-card hands could have at least two face cards (jacks, queens or kings)?

Answer #1

**a)** We need one card from each suit as there are
4 suits, we are playing 4 card hands so one from each will
come.

There are 13 cards in a suit.

So, total ways = 13*13*13*13 =**28561** different
4-card hands

**b)** Total 5 card hands =

Total 5 cards hands when no spade =

So, total 5 cards hands with atleast one spade = 2598960 -
575757 = **2023203**

**c)** Total 5 card hands = 2598960 (From part
b)

Total face cards = 4*3 = 12

Total ways with 0 face card =

Total ways with 1 face card =

So, total ways with at least two face cards = 2598960 - 658008 -
1096680 = **844272**

Q19. Consider an ordinary 52-card North American playing deck (4
suits, 13 cards in each suit).
a) How many different 5−card poker hands can be drawn from the
deck?
b) How many different 13−card bridge hands can be drawn from the
deck?
c) What is the probability of an all-spade 5−card poker
hand?
d) What is the probability of a flush (5−cards from the same
suit)?
e) What is the probability that a 5−card poker hand contains
exactly 3 Kings...

. Consider 5-card hands from a standard 52-card deck of cards
(and consider hands as sets, so that the same cards in different
orders are the same hand). In your answers to following questions
you may use binomial coefficients and/or factorials. (Recall that
there are 4 Aces, 4 Kings, and 4 Queens in the deck of cards)
a) How many different 5-card hands are there?
b) How many hands are there with no Aces?
c) How many hands are there...

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.

Suppose you choose 5 cards from a standard 52-card deck (with 13
hearts, 13 spades, 13 clubs and 13 diamonds). How many different
choices of cards are possible if a. you can choose any 5 cards from
the deck? b. all 5 cards must be hearts? c. you must choose four
kings and one queen? d. you must choose 3 kings and no queens? e.
you must choose at least 1 king and at least 2 aces?

How many possible? 5-card hands from a standard? 52-card deck
would consist of the following? cards? ?(a) three hearts and two
non hearts ?(b) four face cards and one non-face card ?(c) one red
card?, two clubs, and two spades

a) Describe an experiments of the drawing of three cards from a
deck of cards from which the jacks, queens and kings have been
removed. (Note: these are 52 cards in a deck--13 cards are hearts,
13 cards are diamonds., 13 cards are clubs, and 13 cards are
spades. A card with an ace counts as 1. Nine cards of each suit are
marked 2 through 10. Ignore the jacks, queens, and kings, leaving
40 cards from which to draw.)...

An experiment consists of dealing 4 cards from a standard
52-card deck. What is the probability of being dealt exactly 3 face
cards?

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 have a deck of 52 cards, and you draw the top 7 cards.
a) How many hands could you get?
b) How many hands will have 4 of a kind?
c) How many hands will have 5 of the same suit?
d) How many hands will have a 7 card flush?

A deck of playing cards has 52 = 4 × 13 cards: there are 4 suits
(two red and two black) and 13 cards in each suit. How many 3-card
hands of the following types are there?
(1) All 3 of the same suit? (
2) All 3 cards of different suits?
(3) All 3 cards of different value ?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 22 minutes ago

asked 26 minutes ago

asked 28 minutes ago

asked 43 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago