mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Fair dice

Timothy and Urban are playing a game with two six-sided dice. The dice are unusual: Rather than bearing a number, each face is painted either red or blue.
The two take turns throwing the dice. Timothy wins if the two top faces are the same color, and Urban wins if they're different. Their chances of winning are equal.
The first die has 5 red faces and 1 blue face. What are the colours on the second die?

Show answer & extension

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

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026