Equally likely outcomes

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
Coin tossing games

Age

14 to 16

Challenge level

You and I play a game involving successive throws of a fair coin. Suppose I pick HH and you pick TH. The coin is thrown repeatedly until we see either two heads in a row (I win) or a tail followed by a head (you win). What is the probability that you win?
problem
Master minding

Age

11 to 14

Challenge level

Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?
problem
Can't find a coin?

Age

11 to 14

Challenge level

Can you generate a set of random results? Can you fool the random simulator?
problem
A brief history of probability

Age

11 to 14

Challenge level

Can you help d'Alembert discover the probabilty of at least one head in two coin flips?
problem
Flippin' discs

Age

11 to 14

Challenge level

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
problem
Two's company

Age

11 to 14

Challenge level

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
problem
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
Misunderstanding randomness

Age

11 to 14

Challenge level

Which of these ideas about randomness are actually correct?