Theoretical probability

There are 68 NRICH Mathematical resources connected to Theoretical probability

problem

Favourite

Cosy corner

Age

11 to 14

Challenge level

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

problem

Favourite

Roll these dice

Age

7 to 11

Challenge level

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

problem

Favourite

The better choice

Age

14 to 16

Challenge level

Here are two games you can play. Which offers the better chance of winning?

problem

Favourite

In the playground

Age

5 to 11

Challenge level

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?

problem

Favourite

Rain or shine

Age

16 to 18

Challenge level

Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.

problem

Favourite

The birthday bet

Age

14 to 16

Challenge level

The next ten people coming into a store will be asked their birthday. If the prize is £20, would you bet £1 that two of these ten people will have the same birthday ?

problem

Favourite

The car that passes

Age

7 to 11

Challenge level

What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?

problem

Favourite

Knock-out

Age

16 to 18

Challenge level

Before a knockout tournament with 2^n players I pick two players. What is the probability that they have to play against each other at some point in the tournament?

problem

Favourite

What does random look like?

Age

11 to 14

Challenge level

Engage in a little mathematical detective work to see if you can spot the fakes.

problem

Favourite

Same or different?

Age

7 to 11

Challenge level

Anna and Becky put one purple cube and two yellow cubes into a bag to play a game. Is the game fair? Explain your answer.

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For younger learners

Theoretical probability

Cosy corner

Roll these dice

The better choice

In the playground

Rain or shine

The birthday bet

The car that passes

Knock-out

What does random look like?

Same or different?