Coin 1 has probability of coming up heads with probability 0.7.

Coin 2 has probability of coming up heads with probability 0.6.

If we flip a coin today and it comes up heads, we will be flipping coin 1 tomorrow.

If we flip a coin today and it comes up tails ,we will be flipping coin 2 tomorrow.

if the coin initially flipped is equally likely to be coin 1 or coin 2, what is probability that the coin flipped on the third day after the initial flip is coin 1?

I'm having trouble setting my matrix, I was pretty sure that my matrix would look like:

but apparently this is wrong, since I have to consider the fact that both coins are equally likely to be flipped originally.

Mr F says: The transition matrix is . The initial state matrix is . The final state matrix is .
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