Jake dropped by the Happy Valley Card Club to see what was happening on\na snowy winter\u2019s Friday evening in December. Jake enjoyed the conviviality and\nhigh-spirited discussions about the probabilities of card games in the lounge\nby the bar.<\/p>\n\n\n\n
Jake saw a large gathering around a large rectangular table, where\nCharlie was dealing cards on the luxurious green felt cover, Christmas music\nsounding enchantingly in the background.<\/p>\n\n\n\n
\u201cWhat\u2019s the game this evening, Charlie?\u201d asked Jake.<\/p>\n\n\n\n
\u201cIt\u2019s a variation of the game of the other day. It is called the \u2018Four\nCard Deal\u2019,\u201d said Charlie. Half of your winnings will go to our university scholarship\nChristmas charity.<\/p>\n\n\n\n
\u201cSounds fine to me. How does this \u2018Four Card Deal\u2019 work,\u201d said Jake.<\/p>\n\n\n\n
\u201cWell, my man, you pay me 10 dollars and I shuffle and deal four cards\nface up. I also pull a card from the top of a stationary deck I don\u2019t shuffle,\u201d\nexplained Charlie.<\/p>\n\n\n\n
\u201cVery interesting, but what\u2019s the idea?\u201d said Jake.<\/p>\n\n\n\n
\u201cIf the four cards all have a different suit and no two the same value, you win. But if I pull an ace from the other deck, you lose,\u201d explained Charlie.<\/p>\n\n\n\n
\u201cWhat\u2019s the prize?\u201d asked Jake.<\/p>\n\n\n\n
\u201cYou win twenty dollars, but if you don\u2019t win and I pull no ace, I\nrepeat the procedure,\u201d said Charlie.<\/p>\n\n\n\n
\u201cOk, Charlie, let\u2019s give it a\ngo,\u201d said Jake.<\/p>\n\n\n\n
How long would you say this game continued\non average until Jake won or lost, and what could be any amount Jake paid to\ncharity after playing \u2018Four Card Deal\u2019<\/em> ten\ntimes?<\/em><\/p>\nShare this:<\/h3>