Blackjack, or twenty-one as it is frequently called, is a popular gambling game played in Las Vegas casinos. A player is dealt two cards. Face cards (jacks, queens, and kings) and tens have a point value of 10. Aces have a point value of 1 or 11. A 52-card deck contains 16 cards with a point value of 10 (jacks, queens, kings, and tens) and four aces. (1) What is the probability that both cards dealt are aces or 10-point cards? (2) What is the probability that both of the cards are aces? (3) What is the probability that both of the cards have a point value of 10? (4) A blackjack is a 10-point card and an ace for a value of 21. Use your answers to parts (5) Parts (1), (2), and (3) to determine the probability that a player is dealt blackjack. (Hint: Part (4) is not a hypergeometric problem. Develop your own logical relationship as to how the hypergeometric probabilities from parts (1), (2), and (3) can be combined to answer this question.

Q: What’s the probability of getting a card with a heart suits?

A: It is known that Total cards in a deck = 52 Number of cards in a heart suit = 13

Q: In the game euchre, The deck consist of the 9, 10, Jack, queen, king and ace of each suit. Players…

A:

Q: A five-card poker hand is dealt from a standard deck of cards.  Find the probability that the hand…

A: It is given that a five-card poker hand is dealt from a standard deck of cards. Since, in a standard…

Q: We deal 5 cards from a standard deck of 52, one by one. What is the probability that the third is a…

A: Given We deal 5 cards from a standard deck of 52, one by one

Q: Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a…

A: The given question is solved below.

Q: A person deals a 5 card hand from a 52 card deck. What is the probability that they are dealt 5…

A: (i). Find the probability that the player dealt with 5 diamonds: The number of cards in a deck is…

Q: You randomly draw five cards from a standard 52-card deck.What is the probability of getting exactly…

A: Introduction: Suppose an experiment has a total of n mutually exclusive and exhaustive outcomes. If…

Q: Suppose that you have 9 coins: 3 dimes, 4 quarters, and 2 nickels. Two coins are selected at random.…

A:

Q: You randomly draw five cards from a standard 52-card deck.What is the probability of getting no…

A: Given information- We have given a standard deck of 52 cards. We have to draw 5 cards randomly. We…

Q: If you pick a card from a standard deck of cards, what is the probability of picking the 3 of…

A: Given that Number of cards in a deck  n(S)=52 We have to find the probability that  picking the 3 of…

Q: A card is chosen from a deck of 52 cards. It is put back in the deck and a second card is chosen.…

A: Solution: A standard deck of contains 4 ace cards and the number of cards numbered 5 are 4. Here,…

Q: You draw one card at a time from a deck of 52 cards. What is the probability that the second card…

A: From the provided information,Total cards in a deck = 52Total aces = 4

Q: Alice has 8 pennies, 4 nickels, 2 dimes, and 6 quarters in her pocket. If one coin is drawn…

A:

Q: In a game with four players, each are dealt 13 cards from a standard 52 card deck. What is the…

A: Introduction: Each of the 4 players are dealt with 13 cards, evidently randomly, from the standard…

Q: In the game between two cards are dealt what is the probability of winning if a 5 and jack are dealt

A:

Q: As shown above, a classic deck of cards is made up of 52 cards, 4 suits with clubs and spades black…

A: From the provided information, Total cards = 52 Total cards of 5 number = 4 Total cards of 8 number…

Q: probability of picking a(n) 3 of Clubs

A: Given that  A classic deck of 52 cards Number of spades = 13  Number of clubs = 13 Number of…

Q: A bag contains 6 nickels, 2 dimes, and 3 quarters. If you draw 3 coins at random from the bag,…

A: The total number of the coin is = 6 + 2 + 3 = 11

Q: dealt a club from a 52 card deck

A:

Q: random from a standard 52-card deck. What is the probability of drawing a black card or a 10?

A: Given that A card is drawn at random from a standard 52-card deck. Total number cards in a deck (n)…

Q: A person is dealt a 5 card hand. What is the probability that they get a pair of Queens or a pair of…

A: Total number of cards in a deck = 52 Number of kings = 4 Number of queens = 4 Number of cards drawn…

Q: In the game of euchre, the deck consists of the 9, 10, jack, queen, king and ace of each suit.…

A: Given information- We have given a deck of cards. In a deck consist of 52 cards. It has 4 suits…

Q: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: What is the probability of getting either a four or a five when drawing a single card from a deck of…

A:

Q: Given a standard deck of fifty-two playing cards (no jokers and Aces high), find the probability of…

A: Total face card in a deck of fifty-two playing cards = 12

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.