mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

The ace of spades

I have three packs of playing cards with identical backs. Call the packs A, B and C.
I draw a random card from pack A and shuffle it into pack B.
I now turn up the top card of pack A, revealing the Queen of Hearts.
Next, I draw a card at random from pack B and shuffle it into pack C. Then, I turn up the top card of pack B, revealing another Queen of Hearts.
I now draw a random card from pack C and place it at the bottom of pack A.
What is the probability that the card at the top of pack C is the Ace of Spades?

Show answer

Whist

Messrs. Banker, Dentist, Apothecary and Scrivener played whist last night. (whist is a four player card game where partners sit opposite each other.) Each of these gentlemen is the namesake of another's vocation.
Last night, the apothecary partnered Mr. Apothecary; Mr. Banker's partner was the scrivener; on Mr. Scrivener's right sat the dentist.
Who sat on the banker's left?

Show answer & extension

Tags: logic, cards

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020