Probability Short Problems - Age 11-14
Would You Like a Jelly Baby?
What is the smallest number of jelly babies Tom must take, to be certain that he gets at least one of each flavour?
Strange Dice
If two of these unusually numbered dice are thrown, how many different sums are possible?
Satnav Dilemma
How many routes are there in this diagram from S to T?
Half and Half
Two of the four small triangles are to be painted black. In how many ways can this be done?
Birthday Party
The 30 students in a class have 25 different birthdays between them. What is the largest number that can share any birthday?
School Dinners
Our school dinners offer the same choice each day, and each day I try a new option. How long will it be before I eat the same meal again?
Monkey Puzzle
What is the probability that all three monkeys left the cafe wearing the wrong hats?
Clubs
How many students are in the maths club and the science club?
Pieces of Eight
Two of the triangles in the diagram are shaded black. What is the probability the resulting figure has at least one line of symmetry?
Counting Socks
Can you work out the smallest number of socks Rachel needs to take out of the box to be guaranteed a pair?
Perfect Score
Can you work out how many children answered all the questions correctly?
Almost Constant Digits
How many 10-digit numbers containing only 1s, 2s and 3s can you write?
Nine or Ten?
Is a score of 9 more likely than a score of 10 when you roll three dice?
Fair's Fair
Can you design a die which rolls 'fairly' against mine?
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