IBM Research | Ponder This | August 2000 challenges

# Ponder This

## August 2000

<<July August September>>

Ponder This Challenge:

Here are some cribbage puzzles proposed by Denis Borris. (Thanks, Denis!) For the rules of cribbage you can visit the site
http://www.cs.montana.edu/~paxton/cribbage.html
Caveat: although these rules refer to a 61-point game, here we are playing a 121-point game.

Puzzle 1:
Did you know it is possible for you to win 121 to 8 after 2 rounds only?
(That is, the cards are dealt twice, in a two-handed game. The opponents cooperate to make this happen; optimal play is not assumed.)

Puzzle 2:
During the first pegging round of a four-handed game (two against two), the score reaches 43-0.

Puzzle 3:
(A two-handed game):
The game starts and Jack wins first deal.
The first pegging round just ended; John pegged ZERO points.
But Jack (as usual!) pegged the MAXIMUM possible points.
What 4 cards did Jack have, and what 4 cards did John have?
Hint: Jack did not have a 5.

Puzzle 4:
6card Crib
New cribbage game:
-each player gets 6 cards
-that's it: no discards or deck cutting
-no change in the pegging and point counting
OK; first deal: your opponent plays first;
this first deal ends with you getting the maximum
points possible while your opponent gets ZERO points;
includes the pegging points and the hand points.

We will post the names of those who submit a correct, original solution! If you don't want your name posted then please include such a statement in your submission!

We invite visitors to our website to submit an elegant solution. Send your submission to the webmaster.

If you have any problems you think we might enjoy, please send them in. All replies should be sent to: webmster@us.ibm.com

Challenge: 08/02/00 @ 9:30 AM EST
Solution: 08/31/00 @ 8:00 AM EST
List Updated: 08/02/00 @ 9:30 AM EST