Jack was sitting at a caf\u00e9 table reading a magazine when Jill sat down and ordered some pastries and a hot chocolate.<\/p>\n
\u201cWhat are you reading with such a puzzled look on your face,\u201d said Jill, munching a delicious apple strudel with a flaky crust.<\/p>\n
\u201cIt\u2019s a puzzle about a guy who is given a bag with 100 dice and told that one of the dice is faulty since it has six dots marked on all of its faces,\u201d said Jack. \u201cThen he is told to reach into the bag and pick one die.\u201d<\/p>\n
\u201cSo what\u2019s the puzzle all about, then?\u201d asked Jill, taking a small sip of her hot chocolate.<\/p>\n
\u201cYou\u2019re supposed to work out how many sixes in a row the guy has to throw before he can be 90% sure that the die he is throwing is the faulty one,\u201d said Jack.<\/p>\n
\u201cHmm\u2026 since there are 100 dice, it seems to me that you\u2019d have to throw an awful lot of sixes to be sure the die was faulty,\u201d said Jill.<\/p>\n
\u201cMaybe,\u201d said Jack, \u201cbut we have to give mathematical proof of the solution to the puzzle.\u201d<\/p>\n
\u201cWhat\u2019s the prize?\u201d said Jill finishing off her apple strudel and taking a large sip of her not so hot chocolate.<\/p>\n
\u201cJill, it\u2019s ten thousand dollars for the correct answer,\u201d said Jack.<\/p>\n
\u201cWhat are we waiting for, Jack!! Why don\u2019t you get busy on figuring out the solution,\u201d said Jill enthusiastically, \u201cthen we can rent an apartment in Mambo Bay for a great vacation.\u201d<\/p>\n
\u201cHmm\u2026,\u201d said Jack, \u201c\u2019Bay\u2019 gives me an idea.\u201d<\/p>\n