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:

Stage 4 ★★ Sheet 1 Solutions

Boy or Girl?

Age 14 to 16 Short Challenge Level:

Will the witch make a profit or loss?

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?

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?

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?

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?

Pieces of Eight

Age 14 to 16 Short 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?

Nine or Ten?

Age 14 to 16 Short Challenge Level:

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

CD Collection

Age 14 to 16 Short Challenge Level:

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

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?

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?

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?

Face Order

Age 14 to 16 Short Challenge Level:

How many ways can these five faces be ordered?

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?

Winning Marble

Age 14 to 16 Short Challenge Level:

How can this prisoner escape?

Numbers or Letters?

Age 14 to 16 Short Challenge Level:

Which game offers you the best chance of winning?

Dropouts

Age 14 to 16 Short Challenge Level:

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

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'?

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?

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?