Question
In: Statistics and Probability
Alper, Beatta, and Grandma each pick five cards from a shuffled standard deck. Alper replaces the...
Alper, Beatta, and Grandma each pick five cards from a shuffled standard deck. Alper replaces the card and reshuffles each time he picks. Beatta picks from the deck without replacement. Grandma repeatedly picks the top card from the deck and puts it back on the top of the deck. Count an ace as 14, a king as 13, and so on. Let X, Y, Z be the sum of the numbers Alper, Beatta, and Grandma get, respectively. Which of X, Y, Z has or have the largest expected value?
Solutions
orchestra answered 2 years agoRelated Solutions
Alper, Beatta, and Grandma each pick five cards from a shuffled standard deck. Alper replaces the...
Alper, Beatta, and Grandma each pick five cards from a shuffled
standard deck. Alper replaces the card and reshuffles each time he
picks. Beatta picks from the deck without replacement. Grandma
repeatedly picks the top card from the deck and puts it back on the
top of the deck. Count an ace as 14, a king as 13, and so on. Let
X,Y,Z be the sum of the numbers Alper, Beatta, and Grandma get,
respectively. Which of X,Y,Z has or...
Alper, Beatta, and Grandma each pick five cards from a shuffled standard deck. Alper replaces the...
Alper, Beatta, and Grandma each pick five cards from a shuffled
standard deck. Alper replaces the card and reshuffles each time he
picks. Beatta picks from the deck without replacement. Grandma
repeatedly picks the top card from the deck and puts it back on the
top of the deck. Count an ace as 14, a king as 13, and so on. Let
X,Y,Z be the sum of the numbers Alper, Beatta, and Grandma get,
respectively. Which of X,Y,Z has or...
From shuffled deck of cards, 4 cards are randomly selected without replacement from shuffled deck of...
From shuffled deck of cards, 4 cards are randomly selected
without replacement from shuffled deck of 52 cards. What is the
probability to get at least one ace?
Pick two cards at random from a well-shuffled deck of 52 cards (pick them simultaneously so...
Pick two cards at random from a well-shuffled deck of 52
cards (pick them simultaneously so they are not the same card).
There are 12 cards considered face cards. There are 4 cards with
the value 10. Let X be the number of face cards in your hand. Let Y
be the number of 10's in your hand. Explain why X and Y are
dependent.
draw 20 cards without replacement from a shuffled, standard deck of 52 cards. What is the...
draw 20 cards without replacement from a shuffled, standard deck
of 52 cards. What is the conditional probability P (12th card and
20th card is a heart 3rd card is a club)
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 deck of cards is shuffled and then divided into two piles of 26 cards each....
A deck of cards is shuffled and then divided into two piles of
26 cards each. We say that a suit
is unsplit if all 13 cards of that suit are in the same pile.
Compute the probability that at least one suit will be unsplit.
2) Suppose that 5 cards are dealt from a shuffled standard deck. Assuming that the sample...
2) Suppose that 5 cards are dealt from a shuffled standard deck.
Assuming that the sample space is uniform what is the probability
of getting a straight flush?
3) Suppose that my easter egg Ameraucana (‘Zinny’) lays eggs
that are brown, green, or blue with probabilities 1/2, 1/3, and 1/6
respectively. Determine the following probabilities for a dozen
eggs.
(a) There are no brown eggs.
(b) All the eggs are green.
(c) There are at most 4 brown eggs.
Assume that a standard deck of 52 playing cards is randomly shuffled (13 cards of 4...
Assume that a standard deck of 52 playing cards is randomly
shuffled (13 cards of 4 types of suits - clubs, diamonds, hearts,
and spades). If Alex draws a card from it 4 times with replacement,
how many different combinations of suits can he get? (Suppose we
further assume that the order doesn't matter: (clubs, diamonds,
hearts, hearts) is equal to (hearts, clubs, diamonds, hearts).
However, (clubs, diamonds, hearts, hearts) is different with
(hearts, clubs, clubs, hearts).)
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...
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