Probability Stage 4 - Short Problems


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

Flipping Coins

KS 4 Short Challenge Level:

Challenge Level:1

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

Pieces of Eight

KS 4 Short Challenge Level:

Challenge Level:2 Challenge Level:2

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

Swapping Sweets

KS 4 Short Challenge Level:

Challenge Level:2 Challenge Level:2

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?

XOXOXO

KS 4 Short Challenge Level:

Challenge Level:2 Challenge Level:2

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

CD Collection

KS 4 Short Challenge Level:

Challenge Level:2 Challenge Level:2

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

Two Girls

KS 4 Short Challenge Level:

Challenge Level:2 Challenge Level:2

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?

Domino Match

KS 4 Short Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

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

Descending Deal

KS 4 Short Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

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