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: Age 11-14.

We have put together a selection of these short problems as printable worksheets:

Printable worksheet: Age 11-14 ⭐   Printable worksheet: Age 11-14 ⭐⭐   Printable worksheet: Age 11-14 ⭐⭐⭐   Printable worksheet solutions


  • Small tomato seedlings in yellow pots.
    problem

    Satnav Dilemma

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Birthday Party

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Would You Like a Jelly Baby?

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Half and Half

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Strange Dice

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    School Dinners

    Age
    11 to 14
    Challenge 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?

  • Small tomato seedlings in yellow pots.
    problem

    Monkey Puzzle

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Pieces of Eight

    Age
    11 to 14
    Challenge 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?

  • Small tomato seedlings in yellow pots.
    problem

    Clubs

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Nine or Ten?

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Almost Constant Digits

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Counting Socks

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Perfect Score

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in yellow pots.
    problem

    Rain

    Age
    11 to 14
    Challenge level

    How many dry days did Aisha have on her holiday?

  • Small tomato seedlings in yellow pots.
    problem

    Fair's Fair

    Age
    11 to 14
    Challenge level

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

  • Small tomato seedlings in pink pots.
    problem

    396

    Age
    14 to 16
    Challenge level

    The four digits 5, 6, 7 and 8 are put at random in the spaces of the number : 3 _ 1 _ 4 _ 0 _ 9 2 Calculate the probability that the answer will be a multiple of 396.

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