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# Sociable Cards

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Age 11 to 14

Challenge Level

*Sociable Cards printable sheet*

Take a pack of cards and remove the Jacks, Queens and Kings.

Shuffle the remaining cards, and then lay the whole pack face up on the table in a snake, like this one:

Place four different coloured counters on the first four cards in the snake. Then move each counter foward the number shown on its card (Aces count as $1$). Keep moving each counter until it can't go any further without going off the end.

Watch the video below to see a demonstration:

Did your counters all finish on different cards?

Repeat the experiment a few times.

How often did all the counters finish on different cards?

How often did they all finish on the same card?

Can you explain your results?

**Challenge**

Find a way to arrange the cards so that all four counters finish on different cards.

Can you do the same with five counters?

*This problem is based on a card trick called Kruskal's Count*