Aplia Hold \'Em is a simplification of the popular poker game Texas HoldEm. Apli

Question

Aplia Hold 'Em is a simplification of the popular poker game Texas HoldEm. Aplia HoldEm is played with a special Aplia card deck that contains only six cards: the jack, queen, and king of diamonds; and the jack, queen, and king of spades Directions for Aplia Hold 'Em: . Two players are each dealt two cards facedown . A fifth (common) card is dealt facedown and subsequently turned over so it is faceup . Each player's hand consists of three cards: two private cards plus the common card . Every hand is either a pair (two cards with the same face), a straight (a jack, queen, and king not of the same suit), or a flush (all cards of the same suit) . A flush beats a straight and a pair; a straight beats a pair . Any flush ties any flush; any straight ties any straight; any pair ties any pair . A game results in either a win by one of the players or a tie You and an opponent are playing Aplia Hold 'Em without replacement (in other words, the normal process). Five cards have been dealt from a well-shuffled Aplia card deck. You have picked up your private cards, and the common card has been turned over The following graphic organizer shows the game at this stage. The graphic organizer consists of a card bank and a poker table. Your private cards are shown on the left of the poker table, and the common card is shown in the middle. Your opponent's two cards are shown facedown on the right of the poker table. You do not know the value of your opponent's cards, but you know that they are two of the three cards shown in the card bank. You Opponent aplia The probability that your opponent has a pair is 0.67 Given the private cards you were dealt and the common card dealt to you and your opponent, there is a Em, a0 0.67 probability that you win Aplia Hold probability that you lose, and a 0.33 probability that the game ends in a tie

Explanation / Answer

Probability that opponent has a pair is 1/3 . The possible combiination are J and King of diamonds, J and king of spades, and the two kings.

There is a 0 probability of me winning, a 2/3 probability that I lose and 1/3 probability of a tie.

THe hand possible for the opponent are

JQK- I lose

JQK - I lose

QKK - Tie since pair ties pair

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