Question

In the game of​ "Between," two cards are dealt from a standard deck and not replaced. You then pick a third card from the deck. To​ win, you must pick a card that has a value between the other two cards. The order of values is​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, J,​ Q, K,​ A, where the letters represent a​ jack, queen,​ king, and​ ace, respectively. Determine the probability of your winning if the first two cards dealt are a queen and an ace

Answer 1

There are 52 cards in a standard deck of cards and four suits to the cards (hearts, clubs, spades, and diamonds). each suit has 13 cards in it. so if the cards that are placed on the table are a queen and an ace, then two cards are gone from the deck, leaving only 50 cards left. then you have to take out the rest of the queens and the aces which leaves you with 44 cards. of those 44 cards that are left, only 8 of them can be used to win the game. so the ration is 8:44 which can be reduced to 2:11