Imagine a circle with six distinct points marked on its circumference and labelled 1 to 6. There are also six cards numbered 1 to 6. The cards are shuffled and placed face down on a table. You pick two cards and look at the numbers on them; join the two points shown on the cards by a straight-line chord. You then pick two more cards and join those two points with a chord. Finally, a chord is drawn joining the last remaining pair of points.

You win the game if none of the chords intersect. What is the probability of winning this game?

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**This PMQ36 competition closes on WEDNESDAY 18 SEPTEMBER at 23:59 GMT.**

**The Prize****The prizes for this PMQ are 3 free places in our Online Maths Club for ONE YEAR.**The very first correct solution will receive a prize plus two others randomly selected from all the other correct answers. The email time stamp shall determine the order of entries received. All winners can have their name posted and a link to their own online profile at their favourite social network or their own blog.

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