The tarot minor arcana deck has 56 cards in four suits (swords, batons, coins, and cups),...

The tarot minor arcana deck has 56 cards in four suits (swords, batons, coins, and cups), each having 10 numbered cards and 4 court cards (king, queen, knight, and page). A “spread” is a draw of 9 cards. What is the probability of getting a spread of all court cards?

Solutions

Expert Solution

To get the probability of getting a spread of all court cards we will divide the no of ways to get a spread of all court cards by the total possible ways of getting a spread.

Now total possible ways of getting a spread is the way of choosing 9 cards from all 56 cards. So total number of possible spread is .

There are total 4*4=16 court cards. So now to get a spread of all court cards we must choose 9 cards from those total 16 court cards and must not choose any other card. But the ways of choosing 9 cards from 16 court cards is . So total number of possible spread having all court cards is .

So the required probability is

That is approximately equal to 1.51*10^-6.

[Hope this helps. Ask in the comments if you still have any doubt or wants any more clarification. I will be glad to help. Thanks.]

Colby Messinger answered 2 years ago

Next > < Previous

Related Solutions

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...

An ordinary deck of playing cards has 52 cards. There are four suits-spades, hearts, diamonds, and...

An ordinary deck of playing cards has 52 cards. There are four suits-spades, hearts, diamonds, and clubs with 13 cards in each suit. Spades and clubs are black; hearts and diamonds are red. If one of these cards is selected at random, what is the probability for a nine, black, not a heart The probability of selecting a nine is: The probability of selecting a black card is: The probability of selecting a card that is not heart is: (type...

In a standard deck of 52 cards, there are four suits (clubs, hearts, diamonds and spades)...

In a standard deck of 52 cards, there are four suits (clubs, hearts, diamonds and spades) and 13 cards of each suit. What is the probability of randomly selecting two cards, which turn out to be the same suit? (Answer to 2 digits after the decimal point.)

A standard poker deck of 52 cards has four suits, (symbols C, H, S, and D)...

A standard poker deck of 52 cards has four suits, (symbols C, H, S, and D) and thirteen ranks (symbols A, 2, 3, 4, 5, 6, 7, 8, 9, T, J, Q, and K). Every card in the deck has both a value and a suit.1 A poker hand is any set of 5 cards from the standard poker deck. There are some special hands in poker, and these have ranks (i.e. some are better, some are worse). From best...

A standard deck of playing cards consists of the four suits (diamond, club, heart, spade) and...

A standard deck of playing cards consists of the four suits (diamond, club, heart, spade) and each suit contains 13 cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King). Suppose ve cards are taken from an ordinary deck of 52 cards. Calculate the following: a) total number of 5-card-combinations b) number of 5-card-combinations where all 5 cards are hearts c) probability that all 5 cards are of the same suite

A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each...

A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all. a.) How many 7-card hands will consist of exactly 3 kings and 2 queens? b.) What is the probability of getting a 7-card hand that consists of exactly 3 kings and 2 queens? (Note: Enter your answer as a fraction.)

Hyram has a standard deck of 52 playing cards. The deck contains 4 suits (hearts, diamonds,...

Hyram has a standard deck of 52 playing cards. The deck contains 4 suits (hearts, diamonds, clubs, and spades), and each suit contains 13 cards labeled 2 through 10, as well as jack, queen, king, and ace. Four friends are trying to determine some probabilities related to randomly drawing a single card from the deck. Consider the following events, and then answer the question. A: drawing a diamond B: drawing a queen Which friend provided the correct analysis? Samantha says...

A standard 52-card deck of French playing cards consists of four suits: hearts, spades, clubs, and...

A standard 52-card deck of French playing cards consists of four suits: hearts, spades, clubs, and diamonds. There are 13 cards of each suit; each suit has cards of rank 2 through 10, along with an ace, king, queen, and jack. Typically, hearts and diamonds are the red suits, while spades and clubs are the black suits. Four cards are drawn from the deck, one at a time, without replacement. a) The second card drawn is from a red suit....

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

consider a standard deck of playing cards... 52 cards, 4 suits of 13 cards each, 3 cards of each suit are face cards, 2 suits are black (clubs and spades) and 2 are red (hearts and diamond) a) Let event A be drawing a random card that is a diamond. What is a trial for this scenario? What is the sample space? Is A a simple event? What is P(A)? What is A¯, the complement of A? What is P(A¯)?...

In a standard deck of cards, there are 4 suits (Clubs, Hearts, Diamonds, and Spades) and...

In a standard deck of cards, there are 4 suits (Clubs, Hearts, Diamonds, and Spades) and 13 ranks of each suit (2 through 10, Jack, Queen, King, Ace). The diamonds and hearts are red, spades and clubs are black. Imagine drawing cards (without replacement) from a shuffled deck, so that any card in the deck is equally likely to be drawn. What is the probability that (a) If you draw 5 cards, no cards in your hand are red? (b)...

Subjects