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Topic: **Homework help games online****Question:**
I have a homework question on Aplia (online homework website) that I don't understand and need help with. "Aplia Hold 'Em is a simplification of the popular poker game Texas Hold 'Em. Aplia Hold 'Em is played with a special Aplia card deck that contains only six cards: the jack, queen, and king diamonds and the jack, queen, and king of spades. Two players are each dealt two cards, face down. A fifth (common) card is dealt face down and subsequently turned over so it is face up. Each player's hand consists of three cards: two private cards plus the common card. Each hand forms one of the following: a pair (two cards with the same face), a straight (a jack, queen, and king not all 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 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 getting ready to play Aplia Hold 'Em. Five cards have been dealt from a well- shuffled Aplia card deck, but you have not picked up your private cards, and the common card has not been turned over. 1) Think of your opponent's hand as the outcome of a chance experiment. The sample space of this chance experiment contains 20 possible outcomes (hands), of which 12 are pairs, 6 are straights, and 2 are flushes. Before the play begins, the probability that your opponent's hand forms a straight is _____. 2) Now play begins. You pick up your private cards and see that you have the queen of diamonds and king of spades. The probability that your opponent has a straight is _____ . 3) The common card is turned over, and it's the jack of spades. The probability that your opponent has a straight is _____ . 4) Given the private cards you were dealt and the common card dealt to you and your opponent, there is a _____ probability that you win Aplia Hold 'Em, a _____ probability that you lose, and a _____ probability that the game ends in a tie. "
Even an explanation would be helpful, thank you!

June 17, 2019 / By Cletus

1)You have 20 possible hands and 6 are straights so 6/20=.3 2) Since you have the QD and the KS the only 4 possible hands for your opponent are JD KD JS JD KD QS JD JS QS KD JS QS From those, only 2 are a straight So you 2 / 4 =.5 3) Now the possible hands are JS JD KD JS JD QS JS KD QS From those, only 1 is a straight So you 1 / 3 =.33 4) The possible outcomes are QD KS JS vs JS JD KD you win QD KS JS vs JS JD QS you win QD KS JS vs JS KD QS tie there is a 2/3 probability that you win Aplia Hold 'Em, a 0/3 probability that you lose, and a1/3 probability that the game ends in a tie

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