skip to content
 

Summer Maths Puzzles - Friday 23 August - Pot Luck Pet Prizes

Pot Luck Pet Prizes

Lady Luck is about to give out the prize envelopes following the Pet Show at the Annual Village Fete.

  • In the Tortoise Class, 1 of the 3 tortoises was awarded Highly Commended and the others were awarded Commended.
  • In the Cat Class, 2 of the 4 cats were awarded Highly Commended and the others were awarded Commended.
  • And in the Dog Class, 3 of the 5 dogs were awarded Highly Commended and the others were awarded Commended.

Unfortunately, the prize envelopes have been muddled up. Lady Luck decides to go ahead and select envelopes at random (fortunately she knows that the yellow envelopes are for the tortoises, the green envelopes are for the cats, and the blue envelopes are for the dogs).

What is the probability that everyone gets the right prize?

 

Please email your answers to deputy-director[at]newton.ac[dot]uk and remember to include your name (or the name of the group that you solved the puzzle with) so that we can publish it on our website if you are one of the first few to successfully solve the problem.  

Answers to all puzzles will be published at the end of the month. 

> Click here to return to the Summer Maths Puzzles homepage.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons