Question
In: Math
A poker hand (5 cards) is dealt off the top of a well-shuffled deck of 52...
A poker hand (5 cards) is dealt off the top of a well-shuffled deck of 52 cards. Let X be the number of diamonds in the hand. Let Y be the number of hearts in the hand.
1. Do you think Cov[X,Y] is positive, negative, or zero? Explain.
2. let Di(i=1,...,5) be a random variable that is 1 if the ith card is a diamond and 0 otherwise. What is E[Di]?
3. let Hi(i=1,...,5) be a random variable that is 1 if the ith card is a heart and 0 otherwise. Of course, E[Hi] is the same as E[Di], since there are the same number of hearts as diamonds in a 52-card deck. What is Cov[Di,Hi]? What is Cov[Di,Hj], when i≠j?
4. Use your answers to parts 2 and 3 (and the properties of covariance, of course) to calculate Cov[X,Y].
Solutions
milcah answered 4 months agoRelated Solutions
A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards....
A poker hand consists of 5 cards dealt from an ordinary deck of
52 playing cards. How many different hands are there consisting of
four cards of one suit and one card of another suit?
A poker hand consists of five cards randomly dealt from a standard deck of 52 cards....
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.
Answer: %
Determine the probability that all five of these cards
are Spades.
Answer: %
Determine the probability that exactly 3 of these cards
are face cards....
A poker hand consists of five cards randomly dealt from a standard deck of 52 cards....
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. Answer: %
Determine the probability that all five of these cards are
Spades. Answer: %
Determine the probability that exactly 3 of these cards are...
A) A poker hand consists of five cards randomly dealt from a standard deck of 52...
A) 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.
Answer: % Determine the probability that all five of these cards
are Spades. Answer: % Determine the probability that exactly 3 of
these cards...
1. Five cards are dealt at random from a well-shuffled deck of 52 playing cards. Find...
1. Five cards are dealt at random from a well-shuffled deck of
52 playing cards. Find the probability that: a. All are spades. b.
Exactly two are hearts. c. Exactly three are clubs. d. All are red.
e. At least one card is ace. 2. Tossing a coin 15 times find the
probability of getting exactly 4 tails. 3. Find the probability of
getting at least 4 tails for tossing a coin 15 times
A 5-card hand is dealt from a perfectly shuffled deck of playing cards. What is the...
A 5-card hand is dealt from a perfectly shuffled deck of playing
cards. What is the probability of each of the following events:
a) The hand has at least one club
b) The hand has at least two cards with the same
rank
c) The hand has exactly one club or exactly one
spade
d) The hand has at least one club or at least one
spade
A standard deck of 52 cards is shuffled and dealt. Let X1 be the number of...
A standard deck of 52 cards is shuffled and dealt. Let X1 be the
number of cards appearing before the first ace, X2 the number of
cards between the first and second ace (not counting either ace),
X3 the number between the second and third ace, X4 the number
between the third and forth ace, and X5 the number after the last
ace. It can be shown that each of these random variables Xi had the
same distribution, i=1,2,...,5, and...
A five-card poker hand dealt from a standard 52-card deck of playing cards is called a...
A five-card poker hand dealt from a standard 52-card deck of
playing cards is called a three-of-a-kind hand if it contains
exactly three cards of the same rank (e.g. 3 aces and 2 other
cards). How many distinct three-of-a-kind hands can be dealt with?
Calculate a numeric answer.
An ordinary deck of 52 cards is well-shuffled, and then the cards are turned face up...
An ordinary deck of 52 cards is well-shuffled, and then
the cards are turned
face up one by one until a face card (K,Q,J) appears.
Find the expected
number of cards that are face up. Show and explain
plz
e. What is the probability that the card is a well shuffled deck of 52 cards....
e. What is the probability that the card is a well shuffled deck
of 52 cards.
a. What is the probability that the card is a red card
b.What is the probability that the card is a face cards
c. What is the probability that the card is a queen or a
club
d. What is the probability that the card is a heart or a face
card
e. What is the probability that the card is a ace or...
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