Blackjack: In single-deck casino blackjack, the dealer is dealt two cards from a standard deck of 52. The first card is dealt face down and the second card is dealt face up.   QUESTION: Of the 52 cards in the deck, four are aces and 16 others (kings, queens, jacks, and tens) are worth 10 points each. The dealer has a blackjack if one card is an ace and the other is worth 10 points; it doesn't matter which card is face up and which card is face down. How many different blackjack hands are there?   There are _____ blackjack hands possible.

Q: In some card games, it is possible to have a negative score.Lavonne Schultz currently has a score of…

A: We have been given that Lavonne Schultz currently has a score of 15 points. She then loses 24…

Q: Four cards are dealt from a standard deck of 52 cards. How many ways can you be dealt two jacks and…

A: A standard deck contains 52 cards. Four cards have to select.

Q: Iow many different 5 card hands can be dealt from a deck of 52 cards? our answer is :

A: In the given question, concept of Combination is applied. Combination A combination is a…

Q: In the Summer Olympics, there were eight runners in the final of the men's 100 meter dash. How many…

A: There are 8 possible runners who could win the gold medal in the first-place finish. After the gold…

Q: In this game, two chips are placed in a cup. One chip has two red sides and one chip has a red and a…

A: Given, 2 chips  1 chip has both red sides 1 chip has a red and blue side

Q: deck of cards has 2 black, 5 green, and 6 blue cards. You pick 2 cards from the deck. Cards are…

A:

Q: A bag contains 2 gold marbles, 8 silver marbles, and 26 black marbles. Someone offers to play this…

A: Given that gold marbles =2 Siver marbles = 8 Black marbles = 26 Total marbles = 36

Q: How many outcomes are possible?

A: Here given Carmen has a deck of cards numbered 1-10. She picks one card and flips a coin. There are…

Q: From a standard​ 52-card deck, how many 7​-card hands consist of 5 clubs and 2 diamonds​?

A: There are total 13 clubs and 13 diamonds.  We can pick 5 clubs from 13 clubs in 13C5 ways. We can…

Q: This game is called “Get Negative”.  Roll two dice (record these in the order you roll them), and…

A: hello, thank you for the question. According to our policies can answer only three sub parts at a…

Q: Freddy, Gabriel and Henry had some cards. Freddy had 24 more cards than 5 Gabriel. After Freddy gave…

A: To find the solution of the questions first we need to formulate the equation with the help of given…

Q: In a poker game, a player is dealt a 9 card "hand" from a deck of 52 distinct cards. How many…

A: Total number of distinct cards are 52 Number of cards to be chosen are 9 Given the cards are…

Q: School is over, your family is planning a vacation somewhere outside the city, and your mom is…

A: Given,total no.of books=12no.of favorite books=5

Q: In a clothing store, 70% customers buy mens clothes, 25% customers buy womens clothes, 15% do not…

A: Step 1:Step 2:Step 3:Step 4:

Q: Is the game fair? How many dollars should Jane pay for a draw in a fair game?

A: Jane draws a marble from a box containing 5 red marbles, 3 green marbles, and 4 blue marbles. total…

Q: A guy is explaining the “system” for counting cards. he explains that high cards are worth – 1,…

A: Given that there are 76 cards, 23 high, 17 neutral and the rest low.

Q: Students are playing a stock market game in school. To begin, the teacher introduces them to 10…

A: Combination :  The number of ways to choose a sample of r elements from a set of n distinct objects…

Q: The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order…

A: The number of combinations of 4 card from the set of 52 cards is, n=C452=52×51×50×494×3×2×1=270725

Q: bag contains 1 gold marble, 8 silver marbles, and 22 black marbles. someone offers to play this…

A: Before playing :  It should be known expected value ( it represents profit )  Expected value  :…

Q: The following are the rules of the game: One player is chosen to be the "It" that guards the preso…

A:

Q: How many different 4 card hands can be dealt from a deck of 52 cards? Your answer is :

A:

Q: A retail store is placing 7 mannequins on display side by side. Two of the male mannequins are…

A: There is total 7 mannequins.

Q: You are playing a game with a standard 52 card deck. In this game each player gets 3 cards, and the…

A: We can use combinations to find the answer. There are 52 cards and each player gets 3 cards.

Q: Ethan is at a sandwich shop and is looking at the combo meal, which includes a sandwich, a choice of…

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Q: You are dealt one card from a 52-card deck. Find the probably that you are not dealt a four.

A: The probability of an event is given by the number of favorable cases divided by the total number of…

Q: In how many ways can one person, one weapon, and one room be chosen?

A: 1. Total ways = 6*6*9 = 324 6 ways for person, 6 ways for weapon, and 9 ways to select one room

Q: The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order…

A: Given that, The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards Order…

Q: Visualize three playing cards adjacent to one another. A five is just to the right of a three, and a…

A: There are three playing cards adjacent to one another. The answer is attached below.

Q: o raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting…

A: To create a probability distribution for X, we need to calculate the probabilities of winning $23,…

Q: In a game, two people take ball(s) from 56 balls alternatively. Every time each person can take at…

A: To get hold of the 56th ball it's important to get hold of the 52nd ball and so on. This is the key…

Q: the game of Cribbage, players are each dealt 6 cards from a standard deck of 52 cards.  How many…

A: Given that  In the game of Cribbage, players are each dealt 6 cards from a standard deck of 52…

Q: Maria plays the following game: There is a jar containing 2 gold coins, 2 silver coins, and 6 bronze…

A:

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.