Jean-Pierre was walking down the Rue de la Bonne Chance in Paris one early spring evening when through a large display window he saw many couples dancing in what appeared to be a softly lit dance academy, and noticed the graceful movements of a beautiful young woman.<\/p>\n
Jean-Pierre instantly fell in love and walked through a door above which a large, blinking neon-lit sign read: \u201cChez Antoine de le Boeuf \u00c9cole de Danse\u201d to speak with a registrar.<\/p>\n
Jacqueline, the registrar, explained that for each dance lesson ten male students would be lined up at random to face ten female students arranged in a line at random.<\/p>\n
The instructor, Madame le Coeur, would push a button on a hand calculator with her long, red fingernail to generate a ten digit number each time a line of students had to be arranged, the students lining up according to their own number.<\/p>\n
The eager Jean-Pierre was told he could buy various packages, such as for 7, 14, 21 or 28 lessons.<\/p>\n
Jean-Pierre tried to work out how many lessons he would need to be 50% sure of being paired with the enticing woman, he found out was called Emmanuelle, for a dancing session.<\/p>\n
Jean-Pierre figured that if the first session package did not work out, he could always buy some more packages.<\/p>\n
Which lesson package would you suggest Jean-Pierre should buy to be able to dance with Emmanuelle<\/em> with a certainty of 50%? <\/em><\/p>\n If the first package didn\u2019t work, how many more packages should Jean-Pierre buy to achieve a success rate of 90%?<\/em><\/p>\nShare this:<\/h3>