How many dealer hands are possible if it matters which card is face down and which is face up? There are dealer hands possible if it matters which card is face down and which is face up.

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.

You have been asked to play a card game. A card is dealt from a complete deck offifty-two cards (no jokers). A deck has 4 aces, 4 kings, 4 queens, 4 jacks, and 36 other cards.It works like this:• If the card is a ace, you lose $4.• If the card is a king or jack, you lose $10.• If the card is a queen, you win $8.• If the card is anything else, you win $1.Find the expected value of the game. Write the excepted value rounded to the nearest cent

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?

Can you do question 2? I didn't get it. Thanks

Morra is a hand game that dates back thousands of years to ancient Roman and Greek times. Two people called Even (E) and Odd (O) simultaneously reveal a number of fingers. Each one can choose the number of fingers (or more simply, they want to show even or odd number of fingers). If the total number of fingers is even, E wins two dollar from O: Ifthe total number of fingers is odd, O wins one dollar from E. For example, if E chooses three fingers andO chooses two fingers, then O wins one dollars from E. 1. Write down the payoff matrix of the game. 2. What is the optimal strategy for E and O? Formulate the problem as a LP and solve for the optimal strategies by the Simplex Method.