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Factoring a Million

In how many ways can the number 1 000 000 be expressed as the product of three positive integers?

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Thank Your Lucky Stars

A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand corner of the grid?

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Card Game (a Simple Version of Clock Patience)

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 one pile. What is the probability that you win?


Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2
What letters can you swap that don't make any difference to the spelling?