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


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


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