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## 'Limiting Probabilities' printed from http://nrich.maths.org/

The question requires an understanding of the definition of matrix
multiplication and of the probability formulae $$p(u\ {\rm and}\ v)
= p(u)\times p(v)$$ and $$p(u\ {\rm or}\ v) = p(u)+ p(v)$$

You will want to use a calculator (or software) that will work out
matrix products for you.