Let p be the probability measure on S3 given by p(ɛ) = 1/6, p((12)) = 1/6, p((13)) = 2/9, p((23)) = 1/9, p((123)) = 2/9,

Question

Let p be the probability measure on S3 given by p(ɛ) = 1/6, p((12)) = 1/6, p((13)) = 2/9, p((23)) = 1/9, p((123)) = 2/9, p((132)) = 1/9. 
Show that p * p = u where u is the uniform probability measure on S3.

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