Probability

article
What is a random variable, really?

This article offers an advanced perspective on random variables for the interested reader.
article
A probability conundrum

What do we mean by probability? This simple problem may challenge your ideas...
problem
What do you know about probability? (1)

Age

11 to 14

Challenge level

What is special about dice?
How can we use dice to explore probability?
$What \do \you \know \about Probability? (2)$

problem
What do you know about probability? (2)

Age

11 to 14

Challenge level

What are the likelihoods of different events when you roll a dice?
problem
Tools for thinking about probability

Age

11 to 14

Challenge level

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

Age

11 to 14

Challenge level

Can you design a bingo board that gives you the best chance of winning?
problem
Racing odds

Age

11 to 14

Challenge level

In a race the odds are: 2 to 1 against the rhinoceros winning and 3 to 2 against the hippopotamus winning. What are the odds against the elephant winning if the race is fair?
problem
396

Age

14 to 16

Challenge level

The four digits 5, 6, 7 and 8 are put at random in the spaces of the number : 3 _ 1 _ 4 _ 0 _ 9 2 Calculate the probability that the answer will be a multiple of 396.
problem
Is your DNA unique?

Age

16 to 18

Challenge level

Use combinatoric probabilities to work out the probability that you are genetically unique!
problem
Tying the rope

Age

14 to 16

Challenge level

What is the probability that two pieces of rope are tied together, when Pat ties two loose ends together?