Theoretical probability

problem
Favourite

Stats Statements

Age

16 to 18

Challenge level

1 out of 3

Are these statistical statements sometimes, always or never true? Or it is impossible to say?
problem
Favourite

Rain or Shine

Age

16 to 18

Challenge level

2 out of 3

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

Knock-Out

Age

16 to 18

Challenge level

2 out of 3

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

Put Out

Age

16 to 18

Challenge level

3 out of 3

After transferring balls back and forth between two bags the probability of selecting a green ball from bag 2 is 3/5. How many green balls were in bag 2 at the outset?
problem
Favourite

Limiting Probabilities

Age

16 to 18

Challenge level

3 out of 3

Given probabilities of taking paths in a graph from each node, use matrix multiplication to find the probability of going from one vertex to another in 2 stages, or 3, or 4 or even 100.
problem
Favourite

Fa Cup

Age

16 to 18

Challenge level

3 out of 3

In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!
$What \do \you \know \about Probability? (2)$

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What Do You Know About Probability? (2)

Age

11 to 14

Challenge level

1 out of 3

What are the likelihoods of different events when you roll a dice?
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Tools for Thinking About Probability

Age

11 to 14

Challenge level

1 out of 3

Can you design your own probability scale?
How do you describe the different parts?
problem

Genetics

Age

14 to 16

Challenge level

1 out of 3

A problem about genetics and the transmission of disease.
problem

Taking Chances

Age

11 to 14

Challenge level

2 out of 3

This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance and is a shorter version of Taking Chances Extended.