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The Lady or the Lions

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 to follow. Which room should she wait in to give her lover the greatest chance of finding her?

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Master Minding

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?

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Flippin' Discs

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?

Cosy Corner

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

In how many different positions can the three red balls settle?

How many of these positions contain no red balls in a corner?

Printing these sheets may be useful if you wish to to work out the possible combinations of the balls.