Hello, WarZebra!

This is a Markov process.

Are your familiar with it?

. . . . . . . .

. .

(a) If today is cloudy, find the probability that it will be sunny two days from now.

(b) What about cloudy?

(c) What about rainy?

For the two-day probabilities,the matrix.square

. . . . . . . . . . .

. . .

If it is Cloudy today:

Now do the same calculations for 8 days from now, 10 days from now.

What do you notice?

Ridiculous question . . .

We need to determine and .

And I don't know anyone willing to do that.