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Broad Topics >

Probability > Equally likely outcomes

##### Age 11 to 14 Challenge Level:

Identical discs are flipped in the air. You win if all of the faces
show the same colour. Can you calculate the probability of winning
with n discs?

##### Age 11 to 14 Challenge Level:

7 balls are shaken in a container. You win if the two blue balls
touch. What is the probability of winning?

##### Age 11 to 14 Challenge Level:

Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
the corner?

##### Age 11 to 14 Challenge Level:

The King showed the Princess a map of the maze and the Princess was
allowed to decide which room she would wait in. She was not allowed
to send a copy to her lover who would have to guess which path. . . .

##### Age 14 to 16 Challenge Level:

Four cards are shuffled and placed into two piles of two. Starting with the first pile of cards - turn a card over...
You win if all your cards end up in the trays before you run out of cards in. . . .

##### Age 11 to 14 Challenge Level:

What are the likelihoods of different events when you roll a dice?

##### Age 11 to 14 Challenge Level:

Which of these ideas about randomness are actually correct?

##### Age 14 to 18 Challenge Level:

Can you work out which spinners were used to generate the frequency charts?

##### Age 11 to 14 Challenge Level:

Can you generate a set of random results? Can you fool the random
simulator?

##### 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. . . .

##### Age 11 to 14 Challenge Level:

What is special about dice?

How can we use dice to explore probability?

##### Age 14 to 16 Short Challenge Level:

Will the witch make a profit or loss?

##### Age 11 to 14 Challenge Level:

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

##### 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?