If a person draws four cards from a standard deck (without replacing them), what is the probability that at least one of the cards is a face card?

Q: At a certain​ hospital, 24 patients have lung​ cancer, 15 patients​ smoke, and 12 have lung cancer…

A: Given that : Suppose the hospital contains 120 patients. At a certain​ hospital, 24 patients have…

Q: A player is dealt two cards from a​ 52-card deck. If the card is not a club​, the player replaces it…

A: Answer:- Given, A player is dealt two cards from a​ 52 card deck. We know that, total number of club…

Q: Here is a table showing all 52 cards in a standard deck.What is the probability that the card drawn…

A: Given that  There are 52 card in the deck in which they divided into two color i.e red(26) and black…

Q: A card is drawn from an ordinary deck and we are told that it is red. What is the probability that…

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Q: A 52 card deck contains 13 cards from each of the four suits: clubs, diamonds, hearts and spades.…

A: From the given information, there is a deck of 52 cards, there are 13 number of diamonds, 13 number…

Q: A standard deck of 52 cards is divided into two equal sets (each has 26 cards) randomly. What is the…

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Q: A 5 card hand is dealt from a standard 52-card deck. Then the cards are replaced, the deck is…

A:

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Given : n = number of cards in the  hand = 3 x= number heart card in the hand = 1

Q: From an ordinary deck of 52 playing cards, what is the probability that if 5 cards are to be dealt,…

A: Total no.of cards=52no.of face cards=12

Q: What is the probability that one is dealt a full house?

A: A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination…

Q: Two cards are drawn from a regular deck of 52 cards, without replacement. What is the probability…

A: Ans#- Two cards are drawn from a regular deck of 52 cards, without replacement.            What is…

Q: a 52 card deck contains 13 cards from each of the four suits: clubs, diamonds, hearts and spades.…

A: From the provided information, Total cards in deck = 52 Deck contains 13 cards from each of the four…

Q: what is the probability that the first card is a spade?

A: Total number of cards in a dealt = 52 4 cards selected without replacement from a 52 cards. So,…

Q: What is the probability of drawing two cards from a standard deck of 52 cards, without replacement,…

A: draw two cards without replacement from 52 card deck.  To calculate the probability of drawing two…

Q: Three cards are drawn from a deck without replacement. What is the probability that they are not all…

A: Given situation is three cards are drawn from a deck without replacement.   To Find: the probability…

Q: If two cards are selected from a standard deck of 52 cards without replacement. What is the…

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Q: In a certain Soccer League, there are 23 boys from Orange County Soccer Club, 13 girls from Orange…

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Q: if a single card is drawn from a standard 52-card deck, what is the probability that it is either a…

A: The objective of this question is to find the probability of drawing either a six or a club from a…

Q: If two cards are selected from a standard deck of 52 cards without replacement, what is the…

A: Two cards are selected from a standard deck of 52 cards without replacement.TT

Q: A deck of cards contains 24 cards where 4 are red. If 6 cards are drawn at random without…

A: Solution: From the given information, out of 24 cards 4 are red. The number of non-red cards is…

Q: A card is drawn at random from a standard deck. What is the probability that it is a face card?

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Q: Two cards are drawn from a shuffled deck. What is the probability that both are red? If at least one…

A: Probability of getting one red card is 2652. Probability of getting second red card is 2551.…

Q: If a single die is rolled seven times, what is the probability it lands on 3 on the second, third,…

A: A single die is rolled seven times.Probability that a die rolled will land on three = 1/6Probability…

Q: If you have a drawer that holds 5 black t-shirts, 10 blue t-shirts, and 7 white t-shirts, what is…

A: Solution: It is given that a drawer holds: 5 black t-shirts 10 blue t-shirts 7 white t-shirts…

Q: If two cards are selected successively from a well-shuffled pack of 52 cards, what is the…

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Q: two cards are drawn from a poker deck without replacing. What is the probability that the second is…

A: Given data :  Two cards are drawn from a poker deck without replacing. What is the probability that…

Q: What is the probability that any card picked at random from a standard deck of 52 will be a club?

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Q: What is the probability that a five-card poker hand from a standard deck has two pairs of non-face…

A: There are 52 cards in a standard deck. 5 cards can be chosen in 525 ways Now, there are 4 face cards…

Q: Draw a card nine times from a shuffled deck, with replacement. What is the probability that…

A: We want to find the probability that precisely five of the draws will be face cards Total face…

Q: A girl has five die, two of which are four-faced, one is eight-faced and two are six-faced, all…

A: two are four faced so number of faces is 8 of which there are two 3s one is eight faced so number of…

Q: Three cards are drawn from a deck. What is the probability that none of them is a face card

A: A standard deck of 52 cards has 4 suits having an equal number of cards each- spades, clubs, hearts,…

Q: A card is drawn at random from a standard deck. What is the probability that it is the king of spade

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.