tools.dandruce.co.uk / GCSE Probability

Interactive tools for teaching GCSE probability. Sample spaces, playing cards, spinners, probability trees, Venn diagrams and more.

Dice and sample spaces

Configure two dice and an operation. Click any cell to highlight that result.

Sample space (click a cell to highlight)

Playing card probabilities

Suit
All
♥ Hearts
♦ Diamonds
♠ Spades
♣ Clubs
Colour
Any
Red
Black
Value
All
2–10
J, Q, K
Ace
Even
Odd
Prime
Matching cards

Probability spinners

Design a spinner. Up to 10 total parts draws a polygon with that many sides.

Randomiser

Generate random outcomes. Compare tallies to theoretical probability as you collect more results.

Coin flip
H
Press to flip
Dice roll
-
Press to roll
Card draw
Press to draw
Spinner
-
Sector landed

Probability trees

Choose preset events or build your own. Multiply along branches. All final probabilities should sum to 1.

Venn diagrams

Enter counts for two events. Probabilities update automatically.

Probability rules and notation

Key rules and diagrams for GCSE probability. Toggle set notation to see symbolic form.