mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

More doubling cribbage

Source: Inspired by Math Puzzle of the Week blog
Brendan and Adam are playing lots more games of high stakes cribbage: whoever loses each game must double the other players money. For example, if Brendan has £3 and Adam has £4 then Brendan wins, they will have £6 and £1 respectively.
In each game, the player who has the least money wins.
Brendan and Adam notice that for some amounts of starting money, the games end with one player having all the money; but for other amounts, the games continue forever.
For which amounts of starting money will the games end with one player having all the money?

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths LII,
puzzles about numbers, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2020

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018


List of all puzzles

Tags

probability median number numbers symmetry colouring products speed means integration chalkdust crossnumber cards remainders sums palindromes square numbers differentiation complex numbers hexagons chocolate bases mean cryptic crossnumbers averages graphs unit fractions functions proportion prime numbers 3d shapes perimeter shape digits menace probabilty lines polygons christmas dice clocks digital clocks wordplay rugby shapes spheres trigonometry books rectangles integers addition crosswords arrows percentages dominos combinatorics coordinates advent ave multiples sequences 2d shapes crossnumbers factors multiplication cryptic clues pascal's triangle chess perfect numbers fractions tiling square roots scales games the only crossnumber crossnumber algebra range balancing factorials regular shapes gerrymandering circles quadratics elections division grids floors folding tube maps volume area star numbers triangles angles odd numbers people maths ellipses triangle numbers calculus surds doubling indices geometry sport quadrilaterals squares parabolas sum to infinity time cube numbers logic planes taxicab geometry partitions money routes dates coins dodecagons irreducible numbers

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2021