### Jan Nordgreen

Shared publicly -Will the ant die?

An ant starts at the corner 1 and moves forever or till it dies at the corners labeled 7 and 8. The ant can only move using the edges of the cube. When it comes to a corner it can move in three directions. Each choice has the same probability.

What is the probability that the ant will survive?

What is the probability that it will die at 7?

What is the probability that it will die at 8?

The Royal Spanish Mathematics Society http://www.rsme.es/ a years few 100 years. The newspaper El País http://elpais.com/ celebrates this with a math problem every week. The problem above is, in essence, one of them. Here is a video presenting the problem (in Spanish).

http://sociedad.elpais.com/sociedad/2011/03/25/videos/1301007601_870215.html

An ant starts at the corner 1 and moves forever or till it dies at the corners labeled 7 and 8. The ant can only move using the edges of the cube. When it comes to a corner it can move in three directions. Each choice has the same probability.

What is the probability that the ant will survive?

What is the probability that it will die at 7?

What is the probability that it will die at 8?

The Royal Spanish Mathematics Society http://www.rsme.es/ a years few 100 years. The newspaper El País http://elpais.com/ celebrates this with a math problem every week. The problem above is, in essence, one of them. Here is a video presenting the problem (in Spanish).

http://sociedad.elpais.com/sociedad/2011/03/25/videos/1301007601_870215.html

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