Markov Chains Help!

[pinklemonade]

The manager of a snow resort has noticed that, if it snows on a given day, there is a 70% chance that it will snow the following day. If it does not snow, there is only a 30% chance that it will snow the following day. John arrived on Saturday when the weather was sunny and clear.
a.) What is the probability that he will have fresh snow the following Tuesday?

For this question, I understand that But I just dont know how to find out what to multiply it by.

If anyone could help, it would be much appreciated!

[dcc]

What does actually mean?  How should it be interpreted?

[Tyleralp1]

I'm assuming you've set up your horizontal as snow and sunny, and vertical as snow sunny too.

The initial state matrix represents the probability of the first event. If we know that Saturday was sunny, then it's a 100% probability.

Hence the matrix is:
1
0

Conversely, if it had been snow on Saturday, it's a 100% chance of snow so the initial matrix would be
0
1

Hope that helps

[pinklemonade]

I'm assuming you've set up your horizontal as snow and sunny, and vertical as snow sunny too.

The initial state matrix represents the probability of the first event. If we know that Saturday was sunny, then it's a 100% probability.

Hence the matrix is:
1
0

Conversely, if it had been snow on Saturday, it's a 100% chance of snow so the initial matrix would be
0
1

Hope that helps

Thank you!! Helped a lot