Jump to content
BrainDen.com - Brain Teasers
  • 0

Independence Events



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?
Link to comment
Share on other sites

1 answer to this question

Recommended Posts

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.


  • Recently Browsing   0 members

    • No registered users viewing this page.
  • Create New...