Probability Short Problems: Age 14-16

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Probability: Age 14-16.

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

Printable worksheet: Age 14-16 ⭐   Printable worksheet: Age 14-16 ⭐⭐   Printable worksheets: Age 14-16 ⭐⭐⭐   Printable worksheet solutions


  • Small tomato seedlings in yellow pots.
    problem

    Tying the Rope

    Age
    14 to 16
    Challenge level

    What is the probability that two pieces of rope are tied together, when Pat ties two loose ends together?

  • Small tomato seedlings in yellow pots.
    problem

    Collecting Marbles

    Age
    14 to 16
    Challenge level

    How many marbles need to be taken out to ensure that at least three are of the same colour?

  • Small tomato seedlings in yellow pots.
    problem

    Swapping Sweets

    Age
    14 to 16
    Challenge level

    If two girls each take a sweet from each other's bags, what is the probability that they end up with what they started with?

  • Small tomato seedlings in yellow pots.
    problem

    Flipping Coins

    Age
    14 to 16
    Challenge level

    A coin is flipped 4 times. What is the probability of getting heads at least 3 times?

  • Small tomato seedlings in yellow pots.
    problem

    Boy or Girl?

    Age
    14 to 16
    Challenge level

    Will the witch make a profit or loss?

  • Small tomato seedlings in yellow pots.
    problem

    One or Both

    Age
    14 to 16
    Challenge level

    Problem 1 was solved by 70% of the pupils. Problem 2 was solved by 60% of them. Can you work out how many pupils took the exam?

  • Small tomato seedlings in yellow pots.
    problem

    Takeaway Time

    Age
    14 to 16
    Challenge level

    Pizza, Indian or Chinese takeaway? If everyone liked at least one, how many only liked Indian?

  • Small tomato seedlings in yellow pots.
    problem

    Switch On

    Age
    14 to 16
    Challenge level

    In how many different ways can a row of five "on/off" switches be set so that no two adjacent switches are in the "off" position?

  • Small tomato seedlings in yellow pots.
    problem

    XOXOXO

    Age
    14 to 16
    Challenge level

    6 tiles are placed in a row. What is the probability that no two adjacent tiles have the same letter on them?

  • Small tomato seedlings in yellow pots.
    problem

    CD Collection

    Age
    14 to 16
    Challenge level

    How many different ways can I arrange the CDs in my collection?

  • Small tomato seedlings in yellow pots.
    problem

    Odd Dice

    Age
    14 to 16
    Challenge level

    These strange dice are rolled. What is the probability that the sum obtained is an odd number?

  • Small tomato seedlings in yellow pots.
    problem

    Gambling at Monte Carlo

    Age
    14 to 16
    Challenge level

    A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?

  • Small tomato seedlings in yellow pots.
    problem

    Different Digital Clock

    Age
    14 to 16
    Challenge level

    At how many times between 10 and 11 o'clock are all six digits on a digital clock different?

  • Small tomato seedlings in yellow pots.
    problem

    Medal Ceremony

    Age
    14 to 16
    Challenge level

    The teacher has forgotten which pupil won which medal. In how many different ways could he give the medals out to the pupils?

  • Small tomato seedlings in yellow pots.
    problem

    Descending Deal

    Age
    14 to 16
    Challenge level

    Four cards from a set numbered 1-36 are dealt. What is the probability that they are dealt in order?

  • Small tomato seedlings in yellow pots.
    problem

    Two Girls

    Age
    14 to 16
    Challenge level

    There are 10 girls in a mixed class. If two pupils are selected, the probability that they are both girls is 0.15. How many boys are in the class?

  • Small tomato seedlings in yellow pots.
    problem

    Phone Call

    Age
    14 to 16
    Challenge level

    How many different phone numbers are there starting with a 3 and with at most two different digits?

  • Small tomato seedlings in yellow pots.
    problem

    Vegtown Elections

    Age
    14 to 16
    Challenge level

    What percentage of people voted for the Broccoli party in the Vegtown election?

  • Small tomato seedlings in yellow pots.
    problem

    Counting Kangaroos

    Age
    14 to 16
    Challenge level

    Can you work out how many kangaroos Rachel draws in one colour?

  • Small tomato seedlings in yellow pots.
    problem

    Numbers or Letters?

    Age
    14 to 16
    Challenge level

    Which game offers you the best chance of winning?

  • Small tomato seedlings in yellow pots.
    problem

    Domino Match

    Age
    14 to 16
    Challenge level

    If you take two dominoes from a set at random, what is the probability that they 'match'?

  • Small tomato seedlings in yellow pots.
    problem

    Face Order

    Age
    14 to 16
    Challenge level

    How many ways can these five faces be ordered?

  • Small tomato seedlings in yellow pots.
    problem

    Winning Marble

    Age
    14 to 16
    Challenge level

    How can this prisoner escape?

  • Small tomato seedlings in yellow pots.
    problem

    Dropouts

    Age
    14 to 16
    Challenge level

    What percentage of students who graduate have never been to France?

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