Question

Observe that a deck of poker cards consists of 4 aces, 12 face cards (Jacks, Queens, and Kings), and 36 numbered cards (from 2s to 10s). If 10 cards are drawn from a deck of cards (with replacement and reshufﬂing after each draw), what is the probability that:

(a) The 10 cards contain exactly 1 ace, 3 face cards, and 6 numbered cards?

(b) The 10 cards contain at least three cards of each type (i.e. aces, face cards, numbered cards)?

Answer #1

here as P(ace)=4/52 =1/13 ; P(face cards) =12/52 =3/13 and P(numbered card)=36/52=9/13

a)P( 10 cards contain exactly 1 ace, 3 face cards, and 6 numbered cards )

=
=**0.087431**

b)P( 10 cards contain at least three cards of each type )=P( 10 cards contain exactly 3 ace, 3 face cards, and 4 numbered cards )+P( 10 cards contain exactly 3 ace, 4 face cards, and 3 numbered cards )+P( 10 cards contain exactly 4 ace, 3 face cards, and 3 numbered cards )

=++
=**0.007796**

A person removes two aces, a king, two queens, and two jacks
from a deck of 52 playing cards, and draws, without replacement,
two more cards from the deck. Find the probability that the person
will draw two aces, two kings, or an ace and a king.

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...

Suppose you remove the Jacks, Queens, and Kings from the deck.
This leaves you with 40 cards. If the value of the remaining cards
is equal to the face value (the Ace being a value of 1), what is
the expected value of the remaining cards?
answer correct to 2 decimal places

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.)...

Suppose we draw two cards out of a deck of 52 cards. If the two
cards make a pair of “face” cards (jacks, queens, or kings), you
collect $200; if they makes a pair of aces, you collect an amazing
$1,000; if they make a pair but not a pair of face cards or aces,
you collect $100; otherwise you lose $13. In terms of profits and
statistics, should you play the game? Why or why not?

he following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

A poker hand, which consists of 5 cards, is drawn from an
ordinary deck. What is the chance of the following events?
The first 2 cards and the last 2 cards are aces?

An online card game uses a deck of 32 cards containing 4 Aces, 8
Kings, 16 Queens, 2 Jacks and 2 Tens. In each round of the game the
cards are shuffled, the players make a bet about what type of card
will be drawn, then a single card is drawn and the winners are paid
off. The drawn card is reinserted into the deck before the next
round begins.
i. How much information does a player receive when she...

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 2 minutes ago

asked 6 minutes ago

asked 7 minutes ago

asked 23 minutes ago

asked 28 minutes ago

asked 31 minutes ago

asked 35 minutes ago

asked 39 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago