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# Probability Short Problems - Age 11-14

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Probability - Stage 3.

Printable worksheets containing selections of these problems are available here

### Would You Like a Jelly Baby?

### Strange Dice

### Satnav Dilemma

### Half and Half

### Birthday Party

### Monkey Puzzle

### Clubs

### Pieces of Eight

### School Dinners

### Perfect Score

### Almost Constant Digits

### Nine or Ten?

### Fair's Fair

### Counting Socks

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This is part of our collection of Short Problems.

You may also be interested in our longer problems on Probability - Stage 3.

Printable worksheets containing selections of these problems are available here

Age 11 to 14

ShortChallenge Level

What is the smallest number of jelly babies Tom must take, to be certain that he gets at least one of each flavour?

Age 11 to 14

ShortChallenge Level

If two of these unusually numbered dice are thrown, how many different sums are possible?

Age 11 to 14

ShortChallenge Level

How many routes are there in this diagram from S to T?

Age 11 to 14

ShortChallenge Level

Two of the four small triangles are to be painted black. In how many ways can this be done?

Age 11 to 14

ShortChallenge Level

The 30 students in a class have 25 different birthdays between them. What is the largest number that can share any birthday?

Age 11 to 14

ShortChallenge Level

What is the probability that all three monkeys left the cafe wearing the wrong hats?

Age 11 to 14

ShortChallenge Level

How many students are in the maths club and the science club?

Age 11 to 14

ShortChallenge Level

Two of the triangles in the diagram are shaded black. What is the probability the resulting figure has at least one line of symmetry?

Age 11 to 14

ShortChallenge Level

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?

Age 11 to 14

ShortChallenge Level

Can you work out how many children answered all the questions correctly?

Age 11 to 14

ShortChallenge Level

How many 10-digit numbers containing only 1s, 2s and 3s can you write?

Age 11 to 14

ShortChallenge Level

Is a score of 9 more likely than a score of 10 when you roll three dice?

Age 11 to 14

ShortChallenge Level

Can you design a die which rolls 'fairly' against mine?

Age 11 to 14

ShortChallenge Level

Can you work out the smallest number of socks Rachel needs to take out of the box to be guaranteed a pair?