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 

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

Sunday Afternoon Maths LXV

Cryptic crossnumber #1
Breaking Chocolate
Square and cube endings

List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2019