Find s shuffle of a deck of 13 cards that requires 42 repeats to return to...

Find s shuffle of a deck of 13 cards that requires 42 repeats to return to the original order. How about one requiring 30 repeats?

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Colby Messinger answered 1 year ago

A deck of 11 cards contains 4 red and 7 green cards. Shuffle this deck, then...

A deck of 11 cards contains 4 red and 7 green cards. Shuffle this deck, then deal 5 cards to Alice and 6 cards to Bob (without any replacement, of course). Let X be the number of red cards that Alice gets, and Y the number of red cards that Bob gets. (a) Write down the joint probability mass function of X and Y . (Write a formula rather than a table.) (b) Are X and Y independent? (c) Compute...

Suppose you shuffle a deck of cards and set it down on the table. (a) What...

Suppose you shuffle a deck of cards and set it down on the table. (a) What is the probability that the top ten cards contain no aces? (There are four aces in the whole deck). (b) What is the probability that the top four cards are all the same suit? (There are four suits, and thirteen cards belonging to each suit). (c) What is the probability that the top four cards contain (exactly one) pair of the same card? (There...

1. Two cards are drawn from a deck of cards (consisting of 52 cards: 13 cards...

1. Two cards are drawn from a deck of cards (consisting of 52 cards: 13 cards for each of the four suits, Spades (S), Hearts (H), Diamonds (D) and Clubs (C)). Drawing is done with replacement, that is, the first card is drawn, recorded and put back in the deck, then the second card is drawn and recorded. Assuming an outcome is recorded in the order which two cards are drawn, what is the sample space for this (random) phenomenon?...

Imagine I offer you the following gamble. I shuffle an ordinary deck of cards (52 cards of 4 suits; no “jokers”). I draw one card from the deck

Imagine I offer you the following gamble. I shuffle an ordinary deck of cards (52 cards of 4 suits; no “jokers”). I draw one card from the deck. If I draw a Heart, you win $8. If I draw any other suit, you lose (pay me) $2 A. What’s the probability that you’d win the bet (i.e., I draw a Heart)? What’s the probability that you’d lose the bet? B.What’s the expected value of the gamble? (For this problem,...

There is a deck with 42 cards, with 4, 5, 6, 7, 8, 9, A. There...

There is a deck with 42 cards, with 4, 5, 6, 7, 8, 9, A. There are three suits spades, hearts, and clovers. In each suit there are two of each card. So there are two 7 of spades, 7 of hearts, 7 of clovers and so on. Each hand dealt consists of 5 cards. 1. How many hands contains exactly a pair that consists of two cards with the same value? 2. How many hands contains exactly one pair...

consider a standard deck of playing cards... 52 cards, 4 suits of 13 cards each, 3...

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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 hand of 13 cards is dealt from a standard deck of 52 playing cards. What...

A hand of 13 cards is dealt from a standard deck of 52 playing cards. What is the probability that it contains more spades (♠) than hearts (♡) given that the hand contains at least two spades?

Have a regular deck of cards with no jokers (13 cards per suit, 4 suits) giving...

Have a regular deck of cards with no jokers (13 cards per suit, 4 suits) giving 52 cards. Suppose we draw 5 card hand, so 5 cards without replacement. What is the probability of getting a royal flush but where the cards ordered by rank have alternate color? That is, order the cards as 10,J,Q,K,A and then check to see they have alternate colour. Note in a proper royal flush, it is all the one suit, but we have changed...

task A normal deck of cards has 52 cards, consisting of 13 each of four suits:...

task A normal deck of cards has 52 cards, consisting of 13 each of four suits: spades, hearts, diamonds, and clubs. Hearts and diamonds are red, while spades and clubs are black. Each suit has an ace, nine cards numbered 2 through 10, and three face cards. The face cards are a jack, a queen, and a king. Answer the following questions for a single card drawn at random from a well-shuffled deck of cards. a. What is the probability...

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