Jump to content
BrainDen.com - Brain Teasers
  • 0
bonanova

Who served first?

Question

bonanova    75

Araver beat plasmid in a set of tennis, winning six games to plasmid's three.
There were five service breaks (games in which the serving player lost.)

Who served the first game?
 

 

Share this post


Link to post
Share on other sites

1 answer to this question

  • 1
Thalia    59
 

Araver serves first. There are 9 games played. If they alternate first serves, plasmid will serve either 4 or 5 times. If it's 4 serves, to win 3 games, the (serves lost, receptions won) combinations would be (1,0) (2,1) (3,2) and (4,3). For 5 serves, it would be (2,0) (3,1) (4,2) and (5,3). Since each of the (serves lost, receptions won) is a service break, for (a,b), a+b must equal 5. The only combination fitting this is (3,2) under 4 serves for plasmid meaning Araver has 5 and serves the first game.

Edited by Thalia
  • Upvote 1

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now


  • Recently Browsing   0 members

    No registered users viewing this page.

×