Question

(i) In a bridge hand of 13 cards, what is the probability of being dealt exactly two red cards? (ii) In a bridge hand of 13 cards, what is the probability of being dealt four spades, four clubs, three hearts and two diamonds?

Answer #1

(i)

Number of possible 13 cards out of 52 cards =

Number of ways of selecting 2 Red cards from 13 Red cards =

Number of ways of selecting 11 Non-Red cards from 39 Non-Red cards =

So,

P(Exactly 2 Red cards) =

So,

Answer is:

**0.2059**

(ii)

Number of ways of selecting 4 Spades from 13 Spades =

Number of ways of selecting 4 Clubs from 13 Clubs =

Number of ways of selecting 3 Hearts from 13 Hearts =

Number of ways of selecting 2 Diamonds from 13 Diamonds =

So,

Required Probability =

in a game of hearts . the entire deck of cards is
dealt. if you have a hand with 13 cards. in how many ways could the
hand contain
a) atleast 10 hearts
b) 5 clubs and 5 spades
c)3 diamonds
e) exactly 5 clubs and no spades or exactly 5 spades and no clubs ?
read as exactly 5 clubs and no spades or exactly 5 spades and no
clubs)

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...

In a five-card poker hand, what is the probability of being
dealt exactly one ace and no picture cards?
The probability is?
(Round to four decimal places as needed.)

A hand of 5 cards is dealt to each of three players from a
standard deck of 52 cards.
(a) What is the probability that every player receives exactly
four hearts?
(b) What is the probability that at least one player receives
exactly five hearts?

You are dealt a hand of three cards, one at a time. Find the
probability of each of the following.
a) The first
heart
you get is the third card dealt.
b) Your cards are all
red
.
c) You get no
spades
.
d) You have at least one
red card
.

1.
What is the probability of dealing a 13-card hand, from a standard
deck, containing exactly 3 aces?
2. The probability of dealing a 13-card hand, from a standard
deck, containing at least one ace is?
3. What is the probability of dealing a 13-card hand, from a
standard deck, containing exactly 6 spades, 4 hearts, 2 diamonds,
and 1 club?
4. The number of 11-multisets of [7] is?

What is the probability that a hand of eight cards dealt from a
shuffled pack contains:
a) exactly three cards of the same value and the remaining cards
all from the remaining suit
(for example, ♥ 4, ♦ 4, ♠ 4 and five clubs not including the ♣
4);
b) exactly three cards in at least one of the suits;
c) exactly three cards in exactly one of the suits. (Hint. First
find the number of ways in
which five...

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

In a standard deck of 52 playing cards there are 4 suits: clubs,
diamonds, hearts, and spades. To play a game, four players are each
dealt 13 cards, one at a time, from the deck.
Identify the correct experiment,
trial, and outcome below:
Select all that apply:
The experiment is dealing a card.
The experiment is identifying whether a player
has been dealt a club, diamond, heart, or spade.
A trial is the dealing of one card.
The trial is...

Assume you are dealt the following hand in poker: K of hearts, Q
of hearts, 10 of spades, 3 hearts, 7 clubs. If you keep the King of
hearts, the Queen of hearts and the 10 of spades, find:
P(Straight)…be sure to consider both 9-King and 10-Ace.
as far as how many cards are left to be selected from, assume
there are 47 ( that is, don't consider the cards in other players
hands)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 8 minutes ago

asked 30 minutes ago

asked 31 minutes ago

asked 32 minutes ago

asked 43 minutes ago

asked 44 minutes ago

asked 54 minutes ago

asked 58 minutes ago

asked 58 minutes ago

asked 59 minutes ago

asked 1 hour ago