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


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


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


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


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