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

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

Archive

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