You and two friends decide to go to a casino and play Blackjack. You find an empty table and sit down. The dealer shuffles and deals from a new 52 card deck. In order to win, you and your friends know that you need to either score a 21 (blackjack and automatic win) or get a higher total than the dealer. You know that a deck of cards has 13 different cards (2-10, Jack, Queen, King, and Ace), and that there are 4 copies of each in the deck. You know that an ace is equal to either 1 or 11 and that Jacks, Queens, and Kings are worth 10. The dealer deals out the following cards: You: Jack and Ace Friend 1: King and 10 Friend 2: 10 and 10 Dealer: 10 and ? The dealer is about to deal their last card. What are the following probabilities: A) What is the probability that the next card can beat your hand?   B) What is the probability that the next card can tie your hand?   C) What is the probability that the next card can beat your friends?

Q: Assume that you have a 52-card deck at hand and you are planning to draw 6 cards from the deck. How…

A: We have,Number of cards in deck = 52Number of cards are planning to draw from deck = 6

Q: if there are no restrictions? if Holly and Sam cannot sit together?

A: here given ,  Holly, Parker, Jace, Ola, Amir and Sam have gone out to a football game together, They…

Q: Would you play the game? Why or why not?

A:

Q: casino. Of them 18 play both slots and table games, 35 play table games, and 6 play neither. How…

A: Solution

Q: Sandra is writing an article and taking pictures for the school newspaper. She chooses three…

A:

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

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: When playing Yahtzee, you roll five regular 6-sided dice. How many different outcomes are possible…

A:

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: consider a game of 4×4 Tic-tac-toe in which a player must get four in a row to win. Determine the…

A: To determine the number of 4x4 Tic-tac-toe games that end on turn 7, we need to consider the…

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A:

Q: You are dealt one card from a deck. Find the probility of being dealt a picture card (also known as…

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

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: 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: 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: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

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

A:

Q: Find the number of different ways to draw a 5-card hand from a standard deck (four suits with 13…

A: Solution : Find the number of different ways to draw a 5-card hand from a standard deck  of cards to…

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: Mario and Isabella are playing the Integer Card Game. The cards in their hands are shown: Isabella's…

A:

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

A:

Q: How many different 2 card hands can be dealt from a deck of 52 cards?

A: Here, 2 card hands can be dealt from a deck of 52 cards. That is, n=52 and r=2

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: State if this scenario involves a permutation or a combination. Then find the number of…

A: 15 applicants for four jobs : : Computer Programmer, Software Tester, Manager, andSystems Engineer.

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: Find the number of 8 card hands that have 2 red cards and 6 black cards. (Two of the suits are red…

A:

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: A hockey game has ended in a tie after a 5 min overtime period, so the winner will be decided by a…

A: Given that : Player Attempts Goal Scored Beth 9 7 Sierra 13 8

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.