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A certain plant species has either red (dominant), pink (hybred), or white (recesive) flowers, depending on its genotype. If you cross a pink plant with any other plant, the probability distribution of the offsprings are prescribed by the transition matrix
$T:=\left(\begin{array}{ccc} .5 & .25 & 0 \\ .5 & .5 & .5 \\ 0 & .25 & .5 \end{array}\right)$
The first column of $T$ means that if you cross a red with a pink, then $50 \%$ of the time you'll get a red and $50 \%$ a pink - and never get a white. The second column gives the result if you cross a pink with a pink (25\% red, $50 \%$ pink, $25 \%$ white) while the third column concerns crossing a white with a pink.

In the long run, if you continue crossing the offsprings with only pink plants, what percentage of the three types of flowers would you expect to see in your garden?
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