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 - Stage 4.

Printable worksheets containing selections of these problems are available here

Boy or Girl?

Age 14 to 16 Short Challenge Level:

Will the witch make a profit or loss?

Tying the Rope

Age 14 to 16 Short Challenge Level:

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

Swapping Sweets

Age 14 to 16 Short 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?

Flipping Coins

Age 14 to 16 Short Challenge Level:

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

Collecting Marbles

Age 14 to 16 Short Challenge Level:

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

Odd Dice

Age 14 to 16 Short Challenge Level:

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

Switch On

Age 14 to 16 Short 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?

CD Collection

Age 14 to 16 Short Challenge Level:

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

Takeaway Time

Age 14 to 16 Short Challenge Level:

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

One or Both

Age 14 to 16 Short 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?

XOXOXO

Age 14 to 16 Short Challenge Level:

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

Different Digital Clock

Age 14 to 16 Short Challenge Level:

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

Numbers or Letters?

Age 14 to 16 Short Challenge Level:

Which game offers you the best chance of winning?

Phone Call

Age 14 to 16 Short Challenge Level:

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

Dropouts

Age 14 to 16 Short Challenge Level:

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

Medal Ceremony

Age 14 to 16 Short 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?

Domino Match

Age 14 to 16 Short Challenge Level:

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

Vegtown Elections

Age 14 to 16 Short Challenge Level:

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

Descending Deal

Age 14 to 16 Short Challenge Level:

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

Face Order

Age 14 to 16 Short Challenge Level:

How many ways can these five faces be ordered?

Counting Kangaroos

Age 14 to 16 Short Challenge Level:

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

Two Girls

Age 14 to 16 Short 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?

Winning Marble

Age 14 to 16 Short Challenge Level:

How can this prisoner escape?