Question

In: Statistics and Probability

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) If you draw 3 cards, you draw a club, a heart, and an ace (in that order)?

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

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 2 cards, you get both • an Ace, • a...
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 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.)
A deck of cards contain 52 cards consisting of 4 suits (Clubs, Diamonds, Hearts and Spades)...
A deck of cards contain 52 cards consisting of 4 suits (Clubs, Diamonds, Hearts and Spades) and each suit has 13 cards. Cards are drawn one at a time at random with replacement. (a) What is the expected time to get a card of Hearts? (b) What is the expected time to get 4 cards with different suits? Hint: The waiting times between getting i cards of different suits and i + 1 cards of different suits are independent, where...
2. A standard 52-card deck consists of 4 suits (hearts, diamonds, clubs, and spades). Each suit...
2. A standard 52-card deck consists of 4 suits (hearts, diamonds, clubs, and spades). Each suit has 13 cards: 10 are pip cards (numbered 1, or ace, 2 through 10) and 3 are face cards (jack, queen, and king). You randomly draw a card then place it back. If it is a pip card, you keep the deck as is. If it is a face card, you eliminate all the pip cards. Then, you draw a new card. What is...
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...
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....
from the pack of 36 cards (four suits -spades, hearts, clubs, diamonds), (there are 6, 7,...
from the pack of 36 cards (four suits -spades, hearts, clubs, diamonds), (there are 6, 7, 8, 9, 10, Jack, Queen, King, Ace) randomly extracted three cards.Determine the probability that there will be pulled out of cards of different suits.
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...
1. (15pts) A standard 52-card deck consists of 13 cards from each of 4 suits (spades,...
1. (15pts) A standard 52-card deck consists of 13 cards from each of 4 suits (spades, hearts, diamonds, clubs). What is the probability that a 5-card poker hand drawn from a standard 52-card deck has (please give necessary explanation as the solution) (a) (5pts) 2 clubs, 1 hearts and 2 diamonds? (b) (5pts) 1 ace and 2 face cards (face cards refer to king, queen, or jack)? (c) (5pts) at least one ace? You may leave your expressions without evaluating...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT