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Independence Events

Best Answer k-man, 19 July 2013 - 04:34 PM

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Posted 19 July 2013 - 02:49 PM

Three sisters : Venus , Serena , and the well-hidden little Cathy, play one tennis opponent per week. The chances of each sister beating any unrelated player are 7/10, 8/10, and 9/10, respectively. The probabilities of any sister beating another are given in the table
/   v   s   c
v .0  .6  .7
s .4  .0  .9
c .3  .1  .0

(for example Venus beats Cathy 7/10 of the time).

Each week, one pair of sisters plays each other (at random) ; the third plays an outsider. In a 50-match season, which player is likely to win the most matches, and how many matches would each one expect to win, on the average?

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#2 k-man

k-man

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Posted 19 July 2013 - 04:34 PM   Best Answer

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