Probability Stage 3 - Short Problems

A collection of short Stage 3 problems on probability



Tying the Rope

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 37 - 2009
Sam is holding two lengths of rope, and Pat ties two of the loose ends at random. What ropes could they end up with, and with what probability?

Monkey Puzzle

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 47 - 2012
Three monkeys each hung up their hats as they entered a cafe. They each took a hat at random when they left. What is the probability that they all took the correct hats?

Would You Like a Jelly Baby?

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 9 - 2014
What is the smallest number of jelly babies Matt needs to remove from his pocket to guarentee he gets at least one of each flavour?

Collecting Marbles

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 13 - 2014
A bag contains red, orange, green and blue marbles. How many need to be taken out to ensure that at least three are of the same colour?

Pieces of Eight

Stage: 3 and 4 Short Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Weekly Problem 48 - 2014
Two of the triangles in the diagram are shaded black. What is the probability the resulting figure has at least one axis of symmetry?